Right. Healthcare seems like probably the last thing that has a chance to enter post-scarcity environment, simply because as long as people get sick and die, there's always something to spend more resources on. But solving food and shelter would be a good start.
We'd have to either normalize suicide or prevent aging in order to get to a world where the demand for healthcare is basically met for everyone. Before we even get there, we've still got a lot of people whose healthcare costs are infinite with current technology.
The NHS is fantastic, it doesn't operate in a post-scarcity environment.