Same in Germany. When I visited the US for the first time. It was really strange for me to have people bag my groceries.
Also. I usually shop groceries with a back pack. How does that work in the US? Will they put the stuff in there for me?
I've never seen someone with a backpack, but it's not uncommon for people to bring their own reusable bags and have the bagger use them. I think a backpack would work the same way. Hand it over, then get it back full of food.
I normally pack my own backpack. That way I can be sure the squishy stuff is on top, the glass bottle goes in the glass bottle holder, etc. As a nice bonus, the bagger can take a couple minutes rest.