I have been shopping this way ever since the start of covid and only use self check out. It is a lot easier to get around the store. If I need to buy a bunch of heavy stuff or there is a sign asking me not to, I will of course use a small cart or hand basket. I am not going to piss off the Trader Joe gods when I visit it occasionally, who have a sign about it.

I have never been stopped, asked not to, or have been given any looks from the staff for doing it at my main grocery store.