The Corsair also used the High lift NACA 23000 series airfoil (common to the F4F, F6F, F2A, Fw 190, and portions of the P-38 and P-39, all of the Mitchel wing P-38) with 15% thickness at root, 9% at tip. (CLmax decreases with thickness over 16% for this airfoil) The CLmax for the corsair's wing was nearly 1.6 iirc.
The Yak (and almost all soviet fighters) used a modified Clark Y airfoil (YH), the same as the Hawker Hurricane, which is a relatively simple design. (less lift or drag efficient than the NACA airfoils used, though better than the simple Clark Y) With thickness 14% at the root and 10% at tip. I don't have figures for CLmax, but I'd imagine it would be somewhere around 1.3-1.35.
The Incomplete Guide to Airfoil Usage
The AR of both a/c is very similar. (slight edge to the Yak, along with a high taper ratio)
Consdering the airfoil difference they should be about equal in lift loading.
Power loading at low alt goes to the Yak with 1,500 hp for the ~7,000 lb gross weight, compared to 2,450 hp for the F4U-4 (water injection) with 14,000 lbs gross weight.
But if you reduce the fuel load of the F4U to be the Yak's range it would be much closer, along with even better wing loading.
Of course actual aerodynamic test results would be needed to fully clarify the characteristics)
Armament of the F4U is good with 6x .50's with 420 rpg giving heavy firepower for a long firing time. (at 800 rpm ~31 sec) Able to easily tear the Yak apart, while even with the 20mm the Corsair would take a good pounding. I don't consider the 4x 20mm Corsair, as 1. there weren't a whole lot of them made, but more importantly 2. they had freezing problems at altitude, and 3. the 20mm M2 cannon was still not that reliable of a gun. (much better than the M1, but not close to the British Mk.2 Hispano, or the Soviet ShVak or B-20)
The F4U-4 also had an excellent roll-rate at over 100 degrees/s (similar to the P-47N).