Pre-WW2 America isn't a place most people would want to return to in terms of healthcare. It was far far less advanced, people died much more easily and you may recall a certain Great Depression which made it so those savings weren't quite as reliable as people hoped.
Oh and when you go to the ER after getting hit by a bus, are you going to call around for the best deal?
You might argue that's what insurance is for, but now you end up back where we are today, with a middle-man paying for things. Things that are essentially guaranteed to happen but unpredictable in their magnitude.
I'm not saying we shouldn't have more market information, but it's just incorrect to say the market will solve this. Serious medical problems are a, "your money or your life" situation, pure unregulated markets are going to really struggle in this area.