Irrational argument for the day:
If you wanted to raise real wages for workers and thought GDP didn't matter, what would be the most rational course of action to take?
Why, it'd be kicking all women out of the labor market. Unlike the minimum wage, the new wage would be set by market forces. Unlike trying to restrict illegal immigrants, who are often hard to identify, a company would simply need to not hire women, which are much easier to sort out. Unlike trying to reform education, this is actually relatively easy to legislate (if not enforce).
Simply put, if our sole objective is raise wages for low-wage workers, there are a lot of crazy things we could do. Most of them that rely on simple legislation should be ignored, as, as previously stated, they are crazy.