The unions are going to go after healthcare in a big way by targeting doctors, nurses, support staff. Most doctors opposed 0-care, but as employees, many will become convinced that a union is necessary for higher wages and better working conditions. Providers will realize that they have quite a bit of leverage in a union over hospital administrators.
For the most part, you can’t ship healthcare offshore. As the government healthcare under 0-care and consolidation of the industry accelerates, hospitals and insurance companies will be ripe for the picking. Just think of the lost productivity, reduced access and low quality that will ensue.
This isn't a new thing, either. Someone told me a story years ago about a patient who had to undergo heart surgery in a major city in the Northeastern U.S. After running the numbers, his insurance company offered him a deal: instead of having the surgery done in the Northeast, they paid him and his wife to spend a couple of months down in Texas at the Debakey Institute for the surgery and recuperation (widely recognized as one of the top medical centers in the U.S. for heart issues). It was actually cheaper for the insurance company to do this than to pay the cost of the procedure near his home.
Take that story and replicate it several million times a year, and you've got a disaster for the medical profession and major hospitals all over "closed shop" union states if organized labor every tries to get into these places.
That is the exact reason unions have been pushing for government run healthcare for years, to increase their membership. I worked for a union (in a neutral position) and when I asked them why are they pushing for healthcare when their members already had the best paid for by taxpayers that’s the answer I got.