In the short term, perhaps. Long-term, though, the government can't force anyone to provide healthcare; they can only prohibit charging more for it than their chosen price ceiling. If that ceiling isn't high enough to make providing healthcare a worthwhile occupation the inevitable result is shortages, rationing, waiting lists, and—ultimately—people going without health care they could otherwise afford, were anyone allowed to provide it at the market-clearing price.

I didn't even get a bill in the mail for it!

It's almost like some states/municipalities actually fund things and care about it, and they have good results.