[Columbine]

It makes sense to me. Or at least, I think I can fully understand the meaning behind it. It's a play on the word 'free'.

"Does "a free part-time worker" work without salary." IE does the term mean that the part-time worker is like a free commodity for business, giving work for no salary? "Unfortunately, no."

You could just put

Does a "free" part-time worker work without salary? Unfortunately for business, no.