Don't think people's ability to stay in a country should be at risk even if they came over on a work visa. Especially if they just need to change jobs and haven't, like, beaten anyone up. You've been nonviolently engaging in society? Congrats, you get a "fuck it stick around why not" visa when you and your boss have a pizza disagreement. (Or we could re-envision the whole system, but that's a bit much to get into on the comments of this specific post about pizza toppings)