Have you ever watched a mom (or dad) grocery shopping with their kids? Most have their hands full just safely getting their kids inside the store. Now that parent will also have to carry 10 to 15 paper bags.
Then there is the issue of cart space. By the time a baby carrier (and probably a toddler, too) are in the “space ship” shopping cart, the parent is left with little room for the amount groceries a family would actually need. Now, much of that already small space will be consumed by paper bags, leaving less space for groceries.
This is not a practical ban. It will make an already stressful task into a logistics nightmare for parents with small children. Most people recycle bags. Those who can use paper or cloth bags may use them, but let’s not complicate this for families.