It may be the case that in countries which spend less on health per capita than the US wait times tend to be longer on average (and I'm pretty sure the data says this isn't universally true), but that's not an inherent property of the single-payer system - and wait times for someone who would never be able to afford the surgery they need under the American system are infinitely shorter.
So you really think that the demand for, say, hip replacements, will grow indefinitely because the recipients don’t have to pay money for it?
> the nature compensates by limiting supply.
Which nature, and how does it limit supply? I can’t think of any reasonable interpretation of that statement that makes any sense.
There's nothing inherent in single payer systems that forces long wait times. And in my experience (Sweden), when you need care you get it. That in contrast with that it proved almost impossible to get to see an in-network doctor when I lived in Michigan.