That's needlessly provocative, and one of the more absurd uses of "no offense" I've seen in recent times...
"If you think minimum wage laws don't harm anyone you're terribly mistaken."
I don't think the parent said that (at least anywhere I can find it up this thread). One can believe that a policy hurts some of those it intends to help, and still believe that it does on balance substantially more good than harm. You seem to be engaging in precisely the sort of black and white thinking that the parent was cautioning against.
With regards to minimum wage in particular, in isolation it clearly hurts those it excludes from the workforce in the short term. However, when assistence is frequently tied to "looking for work" and not turning down job offers, then things potentially change. I'm not at all sure that a general minimum wage is a better solution then saying "jobs below $X don't count toward assistance", but I'm not at all sure of the opposite, either.