Individual grocery stores shouldn’t have to put forth the effort to make that distinction. It’s the government’s program, they should have to do it. It’s something they’ve supposedly tried, but it was too expensive and wasteful to make the distinction. Whatever the issue, the amount paid out by SNAP is absolutely luxurious. I spent the better part of 2012 on SNAP and we never ate better.
Governments can force food stores to identify which items fall under sales tax and which don't. Why should this be different? And how else are you going to do it with any accuracy other than through the point-of-sale system?