It SHOULD fly like a Spitfire with Corsair engine controls. It should be able to out turn any of the other warbirds. Shouldn't be as fast as the F4U, but the Mag3 Corsair is so poorly modeled in DCS that I don't even know how to factor it in.
The Hellcat should outperform anything Japanese with energy maneuvers and it should be really close in turning. At near stall speeds, the zero will have a smaller turning radius but the Hellcat should never be at those speeds. You should be able to outclimb, outdive, and instantaneously outturn a zero provided you have enough energy to be at 6g's or so