If you can't answer why Medicare seems to do worse than your favorite "single-payer-ish" models, you haven't explained how making the entire system into a single-payer system, a bureaucracy of unprecedented size, will improve things over a smaller bureaucracy that's failing at controlling costs.
Some drugs and new treatments start elsewhere. A disproportionate number start in the US. Fancy new (and often unnecessary) treatments are one of the things driving our costs up.