The Royal Navy did indeed abandon the armoured box hanger after the Indomitables.
It had a fatal flaw that doomed all of them to short lives and early trips to the scrapyard
The very rigid box kept most bombs out, but Newton and his every action has a reaction is a thing.
While on an American carrier, the blast was vented outboard from the hanger, on a British armoured carrier, the shock was fed down through the armoured box into the hull causing structural damage like bent shafts, twisted keels and other not good outcomes.
The other thing was a fire in the hanger - it didn't vent and temperatures reached such high levels, yet again, twisted hull time.
The follow on Audacious class had a much lighter armoured box, little better than splinter levels with armoured patches over the vitals, and Malta class were modelled after the Lexingtons and did away with it.
Also, its claimed the 'stupid Americans' followed British practice and moved the strength deck up from the hanger floor to the flight deck as they had fallen in love with 'armoured carriers'. Nope, they did it because it was the only way to make the huge new carriers hulls stiff enough.
Also, its commonly claimed US wartime carriers weren't armoured - actually, yes they were, but the armoured deck was the hanger floor.
The RN did NOT abandon the armoured box hangar after Indomitable.
Firstly we need to clarify exactly what we are talking about. Carrier hangars can be either "open" or "closed". An open hangar is basically superstructure sitting on the ship's hull girder and extends to the edge of the deck (It needs expansion joints spaced along its flight deck length to cope with bending of the hull girder under it). A closed hangar is usually part of the hull girder itself, and there will be compartments between the ship's side and the hangar walls.
And either can be armoured or unarmoured.
So the US built CV-2 & 3 Lexington and Saratoga with closed hangars before moving to open hangars, until the Forrestal class supercarrier were developed in the early 1950s both for considerations of hull strength and protection from nuclear blast. After considering adding armoured flight decks to a number of carrier designs (Yorktown and Essex) they finally adopted an armoured flight deck in the Midway class, to protect a large part of the hangar space. As in earlier US carrier's the hangar deck was armoured and they added armoured doors to divide up the hangar. All that required support so holes in the hangar walls had to be reduced compared with previous open hangar designs. Additional hangar side protection came from the pedestals for the 5"/54 guns. But no armoured sides to the hangar itself.
The Japanese opted for the closed hangar in their carrier's, adding an armoured flight deck in the Taiho.
Britain also opted for the closed hangar design for its carriers including the 1938 Ark Royal. It was only with the Illustrious class that a move was made to turn that closed hangar into an armoured box.
In the Implacable design they had to save weight to stay within the 23,000 ton Treaty limit and have more speed and the extra half hangar. So the armour on the hangar sides and bulkheads was reduced from 4.5" to 1.5" to compensate. That was then also applied to Indomitable while her design was being modified in 1938. But it was still NC armour plate not ordinary steel plate and it was still used structurally as in the Illustrious class.
The Audacious class as designed in 1942 increased the thickness of the flight deck from 3" to 4" but retained the 1.5" hangar wall NC armour. The double hangar was still closed and an armoured box.
The Colossus/Majestic and Centaur classes still had a closed hangar, but it was left unarmoured.
Ark Royal and Hermes (armoured and unarmoured closed hangar designs respectively) had to have significant strengthening added to their sides when redesigned post-war to incorporate side lifts as the hull girder was being cut into.
As for the Maltas, there was much debate within the Admiralty about whether to adopt an open or closed hangar. The initial design adopted was basically an enlarged armoured closed double hangar Audacious class. Then everyone went back to the drawing board and the final design, which incidentally was never approved by the Admiralty before cancellation, became a US style open hangar design without an armoured flight deck it is the latter that appears in most illustrations and models of the ship.
The stories about the Illustrious class having bent shafts and twisted keels postwar as a result of wartime bomb damage has yet to be evidenced. (I would call it a myth but who knows someone someday might find something buried in the archives that has not yet come to light. Never say never. But not yet.). Illustrious herself served as a trials and training carrier all the way through until the end of 1954 having steamed the equivalent of nearly 18 times around the world. Not something you would expect of a ship of a ship so badly damaged in the way claimed. Only Formidable did not see service post-war, and while in Reserve seems to have been badly neglected being in a "poor material state" by 1949, without any mention of twisted kneels and bent shafts. Indomitable was the other ship that was heavily damaged at different times, but she too saw service between 1950 and 1953 as an operational carrier.
As for fire damage, take a look at the damage reports for Illustrious in 1941 and compare with that for the Franklin in 1945 with her much improved standards if damage control. The hangar fire in Illustrious affected only the after part and was contained there. The fire on the deck below was started by a bomb weighing far in excess of what her armour, or that of any carrier, could have kept out and which hit further forward IIRC (2,200lb). And again where is the evidence that these fires led to more twisted hull damage.
Post-war the RN preferred the light carriers on the front line because it took less crew to man them at a time when the RN had a manning problem. So Victorious, Indefatigable and Implacable spent long periods as training ships only going to sea occasionally, but being manned meant that they were well maintained.
When it came to the 1950s the closed hangar design was just not as flexible when it came to reconstructing them, as the open hangar design in the much larger Essex and Midway classes of the US Navy. After the early experience with Victorious (reconstructed 1950-58) and the headaches from planning the Implacable reconstruction, the RN canned the whole project in 1952. It was just not worth the effort and cost to get a decent carrier capable of taking the types of aircraft expected in service by the end of the decade.
At the end of the day both the US Navy and the RN built the types of carrier that they felt was best suited to the war that they expected to fight.
DK Brown, the naval architect and author, in "Nelson to Vanguard" discusses the pros and cons of open v closed hangars, summarising them like this:--
"Open hangar. Good ventilation, easy to warm up planes, mount large strike, side lifts, more planes.
Closed hangar. Stronger, lighter hull. Much safer against fire, easy to armour, planes protected from weather and some enemy action.
"The choice was not easy, depending on the weight attached to different aspects. Goodall [Sir Stanley Goodall, the wartime Director of Naval Construction] made these points in 1943 under four headings - Aircraft operation, Size and strength of the ship, Protection and Fire risk. He saw the open hangar having a small lead in operation, closed with a big lead in strength and protection and little difference in fire risk. Overall he favoured the closed hangar. I would suggest that both the RN and the US N were right for the wars they planned to fight, the RN in narrow seas, facing shore - based aircraft while the US N expected to engage the Japanese fleet in the open Pacific. The author's choice for The RN in the late 1930s would have been an improved Ark Royal [completed Dec 1938 with hangar capacity for 60 Swordfish / Skua sized aircraft] with better lifts and cleaner run of uptake."
There is plenty of information including damage reports over on the armoured carriers website.
Armoured aircraft carrier design balanced treaty limits, survivability and air power, using an innovative armoured box hangar and flight deck to keep carriers fighting under air and kamikaze attack. Illustrious, Formidable, Victorious, Indomitable, Indefatigable and Implacable in World War II, 194
www.armouredcarriers.com
And you can find the Franklin damage report here.
DECLASSIFIED CONFIDENTIAL
www.history.navy.mil
And those for Enterprise
Diagrams and reports of battle damage inflicted on USS Enterprise CV-6.
cv6.org