Sweden has unions which negotiate minimum wages for everyone in their industry. So yes, nationally there is no minimum wage, but in practice, almost everyone is covered by a minimum wage.

Considering that almost 70% of people in Sweden are part of a union* compared to about 10% in the USA, scrapping federal/state minimum wages in America would be catastrophic, at least in the short term.

*and those that aren't will still benefit from union set minimum wages