Yes that's right. Not that I don't believe in minimum wage, per se, but that I don't believe in laws generally that prevent people from interacting with each other in accordance with each person's self interest.

Or if I want to avoid pedantic arguments, maybe I should say "perceived" self interest. I'm sure there are many paternal government supporters who will do their best to convince a jobless poor person that it's actually bad to work for a rate that some bureaucracy doesn't like.