I think the issue here is one of semantics. The so-called "reusable" bags you're talking about are still classified as single-use plastics.
If you look at BC as an example, where ALL single-use plastic bags at checkouts are banned, people have adapted just fine. In some stores (like restaurants) you can buy paper bags for 25¢, but generally people either don't bother with bags at all and simply load things directly into their cars, or they bring their own bags or baskets. Now, pretty much the only litter I regularly see is paper coffee cups or candy wrappers. Bags have disappeared, and bottles and cans usually collected for the deposit.