Unless it's a store that you have to drive to anyway. For example, my dry cleaner years ago used to "recycle" hangers. You could bring back your hangers from the previous time and get like 2 to 10 cents off your current order for each hanger you returned. (Don't recall the exact amount, probably closer to 2 cents if I think about it.) This was nice because you were going there anyway, and also because you didn't end up with a closet full of empty hangers!

This is also what we did with soda cans when I lived in Michigan. You'd pay 10 cents extra per can, and then get it back when you returned them. If you didn't return them, the state had 10 cents to use to clean up waste produced by that can. If you did, you got your money back and the can got recycled. It seemed to work pretty well. I remember a year after they started the program noting how much cleaner the roads seemed because people were going out and picking up cans to return them and fewer people were throwing them out their car windows.

Most plastic waste is from weekly groceries. No one in their right mind would make a special trip to take the junk back, simply take a black sack with the previous week's garbage when next going shopping. It would be no additional cost and minimal inconvenience.

It's how recycling used to work. There were big skips for glass, paper, textiles etc in most supermarket car parks. They were well utilised by shoppers before entering the store. Before that we used to return the empties for reuse within the store.

If a campaign of returns caused supermarkets to restrict suppliers, and create less in the first place, I would do so diligently.