Besides I'd assume with this setup the future doctor wouldn't start with brain surgery. Maybe stitch up cuts and set broken bones, working up into more complicated scenarios.

I mean, I've always done my own minor doctoring anyway. And people did for a long time, it's only recently a long stint in college was required.

Granted this approach had variable levels of success, but the idea you have to have formal schooling to fix up any health problems I'm not sure I buy.