No way man!!! About 14 years ago I lifted wearing wrestling shoes all the time. They are thinner than Chuck Taylors with no type of arch support. Too many heavy leg days lead to fractured bones in both feet. Try using a 2x4 wood block under your heels. This should help squats and leg press feel more natural. This also shifts the stress angle on your foot.
Sorry no wood blocks allowed in comp.
-Chuck Taylors=Squat, provide superior side support the #1 shoe for squatting. Look around at some pics of 1000lb squats and I bet at least half are using CTs
-Wrestling shoes=Deadlift ONLY! who ever gave you advice to squat in wrestling shoes should be casterated. I also like Otomix, but when the heavy weight comes out, the wrestling shoes or DL slippers come out.
When you use wood you shift the angle of lift on your legs, this may be great for focusing on your quads or whatever but if your goal is to lift heavy and make your legs grow it's not a very good idea, also dangerous. Anyways why not wear big heel boots instead? If your lifting properly (sitting back on the squat) a 2X4 would cause your toes to lift up and put on the stress on your heels and cause loss of balance, a good squat shoe will have minimal arch support, have stiff sides and a hard bottom=Chuck Taylors!
Another thing to think about is that with a 2x4 you get below parallel a long time before your actually at parallel. With this type of squat you have to literally bury the squat with Ass on calves to get full range of motion, with heels up your increasing the range and you are unable to lift as much.
Just some things to think about