In fact in a pre-radar scenario it is the twin seat fighter with long endurance, to mount standing patrols, and an extra pair of eyes that will have the best probability of visually spotting an approaching aircraft,
An aircraft does not have to be a two-seater to have good endurance; the fuel supply of the Firefly, for example, was no better than many single-seat fighters. The main contributor to longer endurance is how the engine performs at low revs with lean mixture, plus pilot training. Naturally an aircraft with a bigger fuel supply has greater endurance, but that endurance is reduced by having to haul around extra weight.
As for requiring two sets of eyes to visually spot an approaching aircraft? - maybe, but there's also the option of devising and using decent formations of single seat fighters, which can accelerate and climb more quickly and intercept the approaching aircraft faster than a couple of two-seaters. The FAA exacted a heavy price to pay for those extra eyes, particularly when the observer had no weapon with which to assist the pilot.
(NB: to get an idea of how the Griffon in the Firefly performed: Lean Mixture for Spitfire XII at 2,000 rpm and -4 lb boost = 42 gal/hour. P&W R-2800-10 of Corsair, Lean Mixture at 2,000 rpm, 22" Hg = 37 gal/hr.)
Again, the IJN had lots of SS fighters at Midway yet the SBD's made their drops undetected...leading to the slaughter of their non-armoured flight deck carriers. In April 1942 9 RAF Blenheims attacked the IJN CVs off Ceylon, and they were undetected until the bombs hit the water.
And how would two-seat fighters have improved matters in these circumstances? The reasons the SBDs got drop on the JNAF at Midway had a great deal more to do with the relatively small fighter cover that was set (the majority of the JNAF's fighters were engaged on escort duties) having to ward off several low-altitude torpedo attacks from different directions over a relatively compressed time period; as well as this the JNAF carriers were well out of their normal formation. What you are overlooking is the fact that the JNAF's single-seat fighter cover was in fact highly effective, and was able to totally destroy formations of TBDs, SB2Us and TBMs, as well as shooting down several B-26s and F4Fs. That was without radar...
It was the USN's use of radar that allowed the SS fighter to be truly viable.
This just shows an ignorance of how the USN, and Carriers in general operated. The USN set fighter cover in the form of standing patrols, regardless of the use of radar, simply because it was far easier to have fighters already in the air, ready to intercept, rather than waiting until radar spotted incoming aircraft. It was also highly inconvenient not to have standing patrols operating while a carrier or carrier group was launching its own attack aircraft.
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