Earlier quoted context omitted.
I feel for you - this kind of thing just shouldn't happen. I think that medicine is a bad example of the point you are trying to make though... It has a lot of embedded costs and roadblocks that aren't really related to regulation. For example - the procedure you describe is highly specialised, and can only be learnt in certain places. Say there are 4 people that can do this procedure at a hospital. Attracting a doct…
One of the roadblocks I forgot to mention is the federal government, which effectively sets limits on the number of new residents that are trained each year: https://www.aamc.org/advocacy/gme/71178/gme_gme0012.html (Not enough people know this, because there would be real outrage if they did.)
I'm not aware that there is anything stopping private hospitals funding residency slots. Hospital systems with hundreds of millions of dollars of profit could easily afford to fund a few residencies.
Medicare is probably a pretty smart and fair place to pull the funding from (it's a broad based tax and key patient focused component of the US healthcare system), but it certainly isn't the only entity with money.