Looking at this as a math problem is a bit navie.
Americans don't want cheaper healthcare.
We've collectively decided the nightmare of employer based health insurance is a good idea.
Single payer healthcare will never happen.
Imagine if you will an Apple farmer willing to supply an entire town for a set amount per person.
One town, call it NordicTown says this is a great idea. Everyone chips in.
Another town, Jamestown has lively debate on the issue, but half the population believes unworthy people will get apples.
Since it's the policy that if anyone who shows up at the apple market starving they'll always get an apple, the apple farmer figures out they can bill the town for whatever they want.
Jamestown then ends up implementing special taxes to pay for poorer people to have apples. They could actually extend this to cover everyone without raising taxes.
But this will never happen. Someone you consider lazy might get a free apple. So you gladly pay 3 times as much.
Everyone in America is a single expensive illness away from ruin. We like living in a dystopian nightmare where you have to pick between medicine, a car note and rent.
Did I mention Jamestown residents who relay on free apple programs regularly vote against free apples?