If you need talents to stay in your country then you need to pay them more.
I don't think inflating your own wages to match a system that appears systemically ineffective is the right response, especially when your own system is more effective overall than the one you are losing talent to.
In the USA, medical practioners get paid more and the country might gain talent as a result, but the people pay more for it and it results in it being less accessible and less effective overall.
Germany pays doctors less, and can, because the switching cost is far higher. Canadians get to keep their first language (most of them do at least), stay on the same continent, which reduces travel to see old friends and extended family, and otherwise have fewer culture shocks to adjust to.
But as others have pointed out: we're culturally and linguistically contiguous with the U.S. and have fairly free movement of skilled professionals. It's hard to compete with an economy with a population that is ten times ours.
It's the same in our/my industry. Being right next to the U.S. means the bulk of the quality engineers here go straight south to the valley after getting their very good subsidized university education. This is a problem.
And doctors need to stop being corrupt by reducing supply of doctors through restrictive medical school entry.
Most residency programs are federally funded, although some are also funded directly by teaching hospitals. If you want a larger supply of doctors then lobby the federal government for more residency program funding. And knock off the uniformed conspiracy theories.
https://news.aamc.org/for-the-media/article/gme-funding-doct...
But, I suppose no one will be able to sway you from your current opinion...
There's an odd balancing act in Canada. On one hand it was doctors that fought (tooth and nail) against the introduction of "single-player" (we just call it Medicare) back in Saskatchewan in the 60s, including going on an (unsuccessful) strike. And they are continually in a battle with the provincial governments about rates, because in Canada (unlike the NHS in the UK) doctors are independent businesses and not on salary (unless they're in the hospital system I believe?)
On the other hand, doctors in Canada have become huge advocates of our Medicare system and a big political opponent of privatization and tiered medicine generally. Not completely, but on the whole and through their professional organizations. 50ish years of working with the medicare system and seeing its outcomes, and seeing the failure to our south I think has made our doctors advocates of our system.
Canada's system is by no means perfect. It's probably not a good model for the U.S. as it is. But it's much better than what the U.S. has.
In general wait times here are a product of restricted resources, not institutional inefficiences per se. MRI machines are expensive, and doctors ration their use based on evidence-based criterion. E.g. no MRIs and back surgeries for non-specific low back pain, etc. because medical science doesn't really support it.
It's also worth pointing out that it was a huge battle to get it here. A big struggle that was successful at the time because at that point Canada's left wing was much stronger, and we had no strongly entrenched insurance mafia like in the U.S. Also Canada, as a British ex-colony, had the U.K's NHS as a model, and politics here was still _very_ strongly influenced by U.K. politics, where the Labour party was very strong.
I'm not sure what the path to U.S. single payer would be, but it would be very difficult one.