Without them your mobility may be bad. You may not have the right tension in places. These tools help get the right feel and you can train under load. Increasing your max load which translates to an increase in your unaided load.
I don't think there is much evidence suggesting training squats wrapped would then result in the unwrapped squat being stronger for an elite lifter. I'd actually be concerned that the technical changes and also the different strength curve for a wrapped squat might throw off someone's regular squat.
That being said, I think most lifters hold off on doing wraps until close to a competition or when hitting near max. Wraps are painful and take a lot of work to put on if doing them tight, so it isn't something you do on every squat. Also, I think people over-estimate how much extra weight one can lift with wraps versus without. It varies from one lifter to the next, but I think the average might be around 10%.
Source -- powerlifter of 10+ years who trains both regular and wrapped squats all the time.
Edit: Internet tells me they might be called squat wedges.
Opening up and releasing my chest, t-spine and pelvic floor has been a long and slow process (8 months so far) but I’m finally relearning proper movement.
Plus, he’s a huge Dune nerd, which comes through in occasionally hilarious ways.
I was lucky to keep my mobility from rollerblading and riding as a kid, so when I moved into powerlifting after 5 years of mostly sedentary computer work, I was still pretty loose.
Sometimes I have wondered if having no resistance at the bottom when I squat is actually hindering me. I've seen people kind of "bounce" out of their squat, as if the resistance they hit at the bottom acts like a sort of spring past their tension point. Whereas in my case, there is no "bounce" and no resistance. If I kept going as low as I can, I'd just end up with my butt on the floor in the squat with nothing springing me back. In the end, I don't go too far below parallel with a loaded barbell because I feel the rest of my squat technique and power output gets compromised at that depth.
Completely changed the game for my squats, with instant results. I incorporate them (along with a similar hip mobilization drill) before all of my squat workouts. Highly recommended.
In my case, I thought that ankle mobility is my problem but after working on my ankles for several months I didn't see the huge improvement I expected, and only then I realized that I have other mobility deficiencies such as hip flexion and rotation and my spine.
If you are not sure what your problem is, you should hire and expert for an assessment. A lot of the stuff you find online is great, but only if you exactly know what you're looking for.
It took me about a year of consistent mobility training to get the ankle mobility and hip internal rotation required to squat right.
Though if you wear lifting shoes that's a nice shortcut. It can reduce the mobility requirements significantly. I prefer to squat without lifting shoes just because I want to be able to do it naturally, and I don't compete or anything like that.