The only for most Americans to have a choice in their health insurance is when they get to pick between the plans from either husband's or the wife's employers.
The biggest disappointment of the Republican alternative to Obamacare was not coming up with a way to sever that tie.
Since that tie is also maintained by large amounts of political donations, it's going to be a hard one to break.
Sure it cuts down on individual choice, but it should theoretically be the most cost efficient method, both for the employees and the insurance company.
Selection of plans or providers is not the problem, especially with the current popularity of PPO plans.
Even the marketing act of splitting up all these groups up as you describe is a huge waste. Now you have to shop the differences, the companies have to explain the differences, and everyone (insurance co, health provider, patients) gets to track multiple different groups with different rules. It's all a waste compared to fewer larger distributed risk pools - which is the whole point of insurance.
Most medical markets (including the US') have large free market & "social" elements. I don't think moving one way or another along that axis would move the needle in a predictable way. That would be decided by the more detailed points. That's what I mean by technical
At this point though, going with the known working solution sooner rather than later is the technically most plausible way to stop the cost expansion. It is exactly like people debating about national debt - you can't complain or argue about how to pay it off until you stop adding to it every year, often with an increasing deficit (which is how republican administrations for the last 30 years have governed).
It is crazy to argue that in the moment your house is on fire to try this untested strategy of using giant fans to blow the fire out that nobody else has done versus going with the tried and true use a fire truck to extinguish the blaze. Experiment after everything isn't on fire.