The ones I'm aware of are a suite of market-based ideas that they believe will lower the cost of healthcare generally,...

Which is why, I believe, that Obama chose an insurance-based solution for the ACA. He wanted Rep votes, and thought this approach would garner them. It did not, of course.

...eliminate inefficiencies in the market... increased price transparency...states offering insurance policies across state lines...

Pretty sure Dems want that, too. So, the Reps want different solutions to that problem, or they misidentify the problem. Yes?

"Friction" is a huge problem, IMO. For example, IMO, putting insurance companies between me and my provider is a friction. Those companies expect to get paid. And many of them report to shareholders, which means a P&L statement that better be more P than L. So, the shareholders expect to get paid, too.

Didn't Reagan get the tort reform rolling in the 80s? I seem to recall all sorts of -IMO- arbitrary limits being set. At the same time, lawyers started being able to advertise legally (which, I think, has caused more litigiousness because of the idea of "free" money with no consequence if you fail to get it).