From Japanese Wikipedia, (Perhaps specification F.6/42 and specification E.6/42 may be confused.)
"The Hawker Typhoon was a failed work as the high speed fighter that was originally requested. The cause was a flaw in the design, and upset of the Napier Saber engine.
The Hawker Typhoon was active as a fighter bomber from the good mobility at low altitude, Hawker aircraft, which is not satisfied with this, redesigned the main wing and fuselage of the Typhoon to develop the Hawker Tempest, and succeeded in improving speed performance and high-altitude performance.
However, The Tempest is a complex aircraft, weight had become heavier than the assumption of Hawker. So, since around 1942, Hawker had decided to modify the Tempest even lighter and smaller.
At exactly the same time, the specification F.6/42 was presented from the United Kingdom Air Force, and a new fighter was requested. Hawker improved the Tempest fighter, and proposed a new fighter, which was smaller and lighter, and proceeded to develop. The scheduled engine was Bristol Centaurus 18-cylinder twin-row radial engine, 2,480 hp (1,850 kW) (take-off)
Hawker to the Tempest, using a steel pipe frame to the fuselage structure, only a part of the monocoque structure, from this new fighter, for weight reduction, Hawker decided to adopt the monocoque structure to the entire fuselage.
Then, in 1943, specification F.2/43 for United Kingdom Navy fighter was issued. Hawker was also to respond to this request by changing some of the aircraft which designed by specification F.6/42, the design was finished in 1944.
The aircraft for the Air Force was first flown in September 1944 and was named Fury. In February 1945, the Sea Fury for the Navy made the first flight. On May 8, the Germany surrendered and the battle for Europe ended, so fury for the Air Force was cancelled, and SeaFury for the Navy had been reduced to a large number of orders.
The Sea Fury production was continued after the war. The Sea Fury was reliable because it was equipped with a Bristol Centaurus engine of simple air-cooled structure compared to the Napier Saber engine, it was a high performance aircraft with good motility."
Fury tested some engines such as
(1) Centaurus Ⅻ.
https://en.wikipedia.org/wiki/Bristol_Centaurus
(2) Griffon85.
https://en.wikipedia.org/wiki/Rolls-Royce_Griffon
(3) SabreⅦ.
https://en.wikipedia.org/wiki/Napier_Sabre