no i dont think that much of a difference.
I noticed that i am quicker out of the bottom of the lift and thats about it.
Give it a try. buy some chuck talyors or train bare foot.
I have developed a bad habit of training barefoot.....i feel more comfortable, but i use chuck taylors (well one stars) for heavy squating movements.
I dont think it is much of an issue.
still if i were you i would buy some shitty cavas thin soled shoes and see how they go.