Are you sure? When do they discover the person does not have insurance? When do they "go after" them so to speak? I don't know the M***. law that well and I suspect, you haven't read it personally yourself either.
That said, if that were the case, the law could easily be tweaked to be that way. So, would you support a mandate the minute a person walked into the hospital for care? Would it then be okay to go after them for covering themselves?