I'm glad that you apostrophied 'mistakes'. I'm not trying to apologise for some of the decisions that were later proven wrong but nobody really had any idea how large 'fleets' of bombers could be intercepted.
In 1932 Ludlow-Hewitt (later of Bomber Command) wrote a paper which much influenced British thinking. In it he postulated that bomber formations might be destroyed in two ways.
1. By sporadic close in attack
2. Sustained 'lie off' attack.
This then led two what he perceived as four lines of fighter development.
1. Two seater with improved stern armament
2. A single seater with extra heavy fore armament for lay off astern
3. A two seater with swivelling guns forward, possibly with turret, developed for the no allowance position astern and below
4. A high performance single seater fighter for fire shock action.
In the early/mid 1930s it was by no means certain that a high performance fighter with a fixed forward firing armament was going to be the way forward, however obvious that is to us today.
There were very serious concerns about the ability of a pilot to keep formation, still considered vital in air fighting tactics, and aim his guns. The number of fixed armament single seat fighters able to attack simultaneously was thought insufficient to break up the formation and there were doubts about their ability to make more than one brief attack.
There was a strong body of opinion that felt that a separate gunner would always be needed. In one scheme there would be a crew of two, both of whom could serve as a pilot and gunner, which one flew the aircraft at a given time depending on which armament was being used! Things could have been much worse
There were also well documented concerns about the number and type of guns fighters should employ, whether fixed or not. The quest for fire power had already led to suggestions for 6, 8 and 10 gun fighters long before a certain Ralph Sorley became directly involved, but that's another story.
The issue of cannon armament is also misunderstood. In the first five years of the 1930s the British did not seriously consider smaller calibres of cannon armament because of the terms of the St Petersburg Convention to which the UK was a signatory. This banned the use of explosives in projectiles that weighed less than 400 grams. The Air Ministry was aware of developments of 20mm cannon firing explosive projectiles much lighter than the limit in other countries, but it wasn't until June 1935 that the then Chief of the Air Staff (Ellington) wrote.
"We should however be clear as to our attitude to smaller calibre guns than the C.O.W. If other powers are ignoring the St. Petersburg Convention in respect of explosive projectiles, are we to do the same?"
The 11/2 Lb ( 700 gram) projectile of the C.O.W gun did not contravene the Convention. This led to efforts to fit such a cannon to proposed 'No Allowance' fighters which could make long range attacks on bomber formations. No allowance shooting is NOT just zero deflection shooting as I often see it called. It is based on the principle that a projectile fired at an angle to the line of flight of the aircraft carrying the gun will travel at an angle of incidence to the air stream, thus generating lift and flying in a more or less straight line to the target. The British didn't have a high opinion of their pilot's/gunner's skills and were very keen on this method of air to air gunnery.
If a fighter flew below and behind a bomber at the same course and speed and with its guns set at the correct angle, then the gunner would need to make no adjustments for gravity, aerodynamics or relative speed.
The result of all this was proposals (touched on in my post above) for all sorts of weird and wonderful turret equipped fighters and fighters with swivelling guns in the nose and/or wings.
By early 1935 the Air Staff knew that they wanted a two seat fighter, but there was still confusion about how it should be used. Finally, in April 1935 the Air Staff Requirement called for a fighter which
"can bring fire to bear from a moveable battery of at least four machine guns over the upper hemisphere... thus conferring on it the ability to attack from below and behind, below and in front, or on the flank of an enemy formation, at the same time enabling the batteries of all fighters to be trained on to the target simultaneously while in formation."
Forward firing armament, which had so exercised minds on the Air Staff for the previous several years was simply dropped on the grounds that it was
" Undesirable to split the armament."
Back in 1932 two of the short listed entries to the Novel Fighter competition had been discarded precisely because their turrets could not reinforce their forward firing guns. In 1933 Peirse (another future bomber man) had argued for a two seat fighter with a four gun turret and two guns for the pilot. In a dogfight the four turret guns would be fixed forward to give a six gun fighter. Now the Air Staff had come up with a horrible compromise, an aircraft with no forward firing armament at all. In 1938 this became the Defiant.
Cheers
Steve