Most arguments for minimum wage solutions are better served by UBI-style solutions tied to having a job somewhere. People show up to work to benefit society in some way deemed valuable by someone who put a much larger investment in play (maybe tie to some really small minimum wage like $2/hour just to make sure the business owner really does deem the labor beneficial), but the vast majority of the worker's income comes from wealth transfers from the wealthy (via UBI) instead of from the working classes (who are the vast majority of clientele at places like McDonald's).
Prevent a desperate race to the bottom? Ensure something approaching a minimum wage? Nobody cares, so long as they're getting a UBI check from the government.