It means we need to move on from the union model dating from right after World War Two, when most American workers were unionized, and collectively bargained for benefits like health insurance as part of their employment compensation package. Now that most American workers are not unionized, while many work part-time or are in the gig economy, tying benefits like health insurance to employment no longer makes sense. So this crisis is an opportunity to rethink that system.
In reality, the Emergency Medical Treatment and Active Labor Act, signed into law by President Ronald Reagan in 1986, requires hospitals to treat anyone who comes in, regardless of their ability to pay. So an illegal immigrant who brings his kid in for the sniffles is paid for by the rest of us, which is why an aspirin when you're in the hospital costs $80 and the doctor charges $300 to poke his head in the door. What's needed is a comprehensive system that everyone pays into and where everyone is covered. Other developed countries have this and there's no reason we can't either.