It is noteworthy that from the Nimrod of 1931, Camm's first carrier fighter, it took almost a quarter century before Hawker would field a folding wing fighter, and that the postwar Sea Fury.
To be fair, there was the folding wing Hawker Osprey.
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Not for want of trying. But it was due to a mix of things.
1. Few new fighter competitions in the 1930s & early 1940s. After the Nimrod & Osprey, the next fighter competition was that which produced the Skua, then the Fulmar and then we come to N.8/38 & N.9/38 and their successors.
2. A preference by the RAF to use noted suppliers of naval aircraft like Fairey & Blackburn
3. When it did tender it wasn't selected to go forward.
4. By the latter part of the decade its involvement with the Hurricane and its successor the Typhoon were seen as the company's priority by the Powers that Be.
Hawker tendered for:-
O.27/34 but that was won by Blackburn with the Skua
N.5/38 (2 seat fighter for FAA) and N.6/38 (turret fighter for the FAA) but both Specs went nowhere.
N.8/39 (2 seat front gun fighter for the FAA) and N.9/39 (2 seat turret fighter for the FAA). Everyones initial designs were rejected and there was a change of requirements at the end of 1939 and, after a second round of tendering in Dec 1939/Jan 1940, Fairey was selected to to develop the Firefly & Blackburn to work on further development of a proposal that eventually became the Firebrand.
N.11/40 Hawker tendered a project, P.1009, for a folding wing version of the Typhoon but Blackburn won with Firebrand.
The next time that the RN arranged a fighter competition their requirements under Spec N.7/43 were pooled with those of the RAF in Spec F.2/43 that eventually led to the Sea Fury.
All these requirements called for aircraft with folding wings.
The problem is that most of the details of these projects that Hawker was involved with have either disappeared altogether or remain buried in what will now be the BAe Systems archives somewhere awaiting some keen author to delve into them.