I mean, again, you’re claiming if Republicans get rid of minimum wage

Min wage is entirely different than what these bans are about. There are no wages in this context. This is about a flat periodic income for non-wage earners for the most part.

then they’ll have to come up with some state-sponsored plan to get Bob his shoes when the inevitable wage reduction makes shoes even more unaffordable.

You’re confused about how these bans work. If they don’t want to give Bob a flat living income from state funds at the state level, a ban is pointless because they can simply neglect to provide the money (as they already control the policy and money at the state level). The purpose of a ban is to prevent lower governments from acting. So if they implement a state-level statute banning Bob getting min income, city/county X can cannot give Bob a min income but they can still buy Bob a pair of shoes. Hence how it can backfire.

I’ve seen public libraries with sewing machines. So for example a librarian could theoretically use it to help Bob construct a pair of shoes using material that’s supplied by public money to the libraries. Such an outcome is a game of whack-a-mole.. The republicans would have to discover that’s happening and then legislate against it separately.