If we can, we should, but you probably want to consider most plastic wrappers as temporally displaced fossil fuel that will be burned for heat in a specialized kiln. The logo that designates plastic types should be changed to match local conditions, from the three circling arrows to a flame—with the same numbers. I believe that using those logos requires a license, but I doubt that it pays for the recycling of most of it. Most of it isn’t recycled anyway. You definitely want garbage collection and processing to be paid for by companies printing that logo. We definitely should include the cost of extracting and storing or processing carbon in there, too.
That might convince people to use paper bags or only certain types of plastic.