Yes the US absolutely does have them at some chains. Also a lot of stores have tech where the wheels lock up if you leave the parking lot with the cart. There's various versions of them, including this one.

In the EU the coin lock carts are basically standard everywhere I've been.

Tucker's bullshit wasn't aimed at people that would know that. It was ridiculous propaganda for the sorts of dumb fucking Americans who never leave their bubble, yet spend all their time making wild assumptions about the outside world.