Diseases always face selection pressure to spread more easily and rapidly. When that selection pressure is caused by broad factors like "people aren't congregating together," it's hard to imagine how any simple evolution could overcome that barrier.
Covid itself is instructive here. Some of the variants of concern are more transmissible than the originally-distributed variant as of March of last year, but those mutations don't uniquely overcome masks or social distancing. They would have always result in a more transmissible virus (because SARS-CoV-2 appears to be a zoonotic virus not originally perfectly-adapted to humans), and we are seeing them now because each infected person is a new roll of the mutation dice.
Applying that lesson to the flu, the less prevalent the virus the less likely we are to see variations, not more. Alas, for influenza itself we always have the asterisk that we regularly see new variations cross to humans from animal reservoirs, so we're unlikely to eliminate it through only (nonpharmaceutical) human-health measures. (It'd be nice to get a universal flu vaccine, though.)
We had. And it may have killed 3% to 5% of the world population in about 2 years: https://en.wikipedia.org/wiki/Spanish_flu
That's also why we are so afraid of this one and constantly monitor it: https://en.wikipedia.org/wiki/Avian_influenza
We go for a suppression strategy instead.If 1 person infects 1 other person (as we seem to be trying to achieve with corna) it is going to take 1000 generations before full immunity is achieved. There is going to be far more chance of mutations in 1000 generations of viral replication than in 3 generations.
However, I think this is right in one sense: an implicit or explicit strategy of keeping R0 as close as possible to 1 would be the strategy with the highest risk of significant mutations, as we have seen.
UK government ministers literally stated this to be their strategy.
Comparing places that didn't lock down to those that did I think its fair to say that the strategy has not been effective.
The current some half of the world somewhat protected, while other parts are breeding grounds is a pretty bad state to be at, with a potential mutation turning up and endangering the protected people as well again.