In Canada, I can't privately pay a doctor for care - their hands are tied; dentists/dental-jaw aren't included - because dental isn't covered - somehow the teeth and jaw, and related tissues, aren't part of the body.
And you're making lots of assumptions - but no point in addressing those, but I'm curious what some of the pros and cons are? More specifically the cons; usually people haven't thought too deep to extrapolate to the consequences of either the pros or cons.
It's quite clear there's a large disconnect between people who likely had relatively simple health issues needing to be diagnosed and treated vs. others with more complex issues; of course the quality-competence of doctors you encounter is going to be the primary fundamental factors - which in part has to do with their training, their environment of if they are around other competent-knowledgable doctors - which then includes their education, how much they excel at memorization rather than critical thinking and observation skills.
I'm also curious if you ever played any rough sports or been in any serious collisions/accidents, or have you never really had any significant or complex injuries?