The point is that some people will be priced out of the labor market because they are only allowed to exchange their labor at/above a set rate. If your labor is worth $10/hr because you have very little job experience, you will be unemployed in a jurisdiction where the minimum wage is $15/hr.
It is not "best for people's freedom" to have that restriction; it benefits some people (those who remain employed) and worse for others (those who are laid off or cannot get a job). And it's good for companies that make tools to automate jobs away (we've seen more fast food kiosks recently).
But the big picture point I was making is that it's silly to wave the flag of economic freedom if you don't actually embrace that concept wholeheartedly (which I am assuming she does not).
