Yeah, true. I guess the un-intuitive part is that minimum wage is _supposed_ to act as a national / state labor union. It's just that, when working as intended, the effects feel wrong.
In this "minimum wage makes the government a union" metaphor, if you find a way to work for less than minimum wage, even if it's your only option, you're crossing the picket line and you're wrong. You're supposed to make a worse decision for yourself, so that everyone together avoids a race to the bottom.
So it is working as intended. But I don't like the intention, because it means, if the market can't price your labor above minimum wage, you just can't work. You have to find some other way to work for less than minimum wage, maybe working under the table, or getting qualified as disabled, or making YouTube videos.
Are we really asking poor people below that labor price floor to be on strike forever, to protect the jobs of other poor people who are barely above that price floor? It seems like a bad solution.
The alternatives are things like UBI or NIT or wage subsidies, which are not politically popular.
And maybe I'm committing the Golden Mean Fallacy, but I think if we had some combo of UBI and wage subsidies and then just let the market work itself out (and keep stuff like OSHA, of course), it would be better than setting price floors on labor.
Disclaimer: I became interested in UBI a few years ago after seeing SSC (Yeah, I know...) rail against basic jobs programs in this piece: https://slatestarcodex.com/2018/05/16/basic-income-not-basic...