I've had no problem squatting (any kind) or DL barefoot and since I am barefoot significantly more than I wear shoes (prob by a factor of 5-10x), I prefer it. This is how I've always been for the last 30 years.
Shoes will help those ankle flexion issues out a lot and of course most people just aren't used to not wearing shoes.
If someone is going to train to compete PL or WL it's probably a better idea to train how you are going to compete.
Not wearing shoes has not limited my DL and BS but I'm sure they have a bit more room that could be explored by a focused program on them.