Well not really, especially when it comes to Beef. Pork has has a rather diverse selection from both side, but generally I think they are about the same.
I should clarify. It's not impossible to get higher quality meat but it's harder. I can go into almost any supermarket in the UK or France and get very high quality meat easily. I find that in Canada and the US it's much harder to find good quality meat in a supermarket. I have to go to more specialized places. Similarly the lower end in Canada and the US tends to be much lower than the lower end in the UK and France.
Don't even get me started on trying to get unsmoked ham but that's a cultural thing.
Like many things in the US, there is a huge range. I think it's probably true that at the lower end of the cost spectrum in most meats, the US produces more cheaper and lower quality stuff. Particularly the average grocery store inexpensive chicken isn't good, but it's cheap and super plentiful.
That's a long way from "all sort of meats are worse in quality", though.
Don't even get me started on trying to get unsmoked ham but that's a cultural thing.