> A high population of vaccinated is mathematically more likely to produce more virulent strains with a non sterile vaccine in a fast mutating virus.

Not so. Lots of cases produce worse variants, not vaccines.

https://theconversation.com/massive-numbers-of-new-covid-19-...

That's possible but unproven. The current thinking is that new variants are mostly likely to evolve in immunocompromised patients who experience persistent infections. Vaccines are less effective in such patients because the immune system doesn't respond as it should.

https://www.scientificamerican.com/article/covid-variants-ma...

But if vaccines permit asymptomatic spread, meaning the virus enters a host and begins replicating, without the host showing symptoms, by definition you’re increasing the number of opportunities for new mutations to occur. I’m not sure how that article refutes the grandparent comment’s point.

Asymptomatic spread is possible with or without the vaccine, but significantly less with it.

Its much more possible with a vaccine that reduces the severity of the disease and permits people to still be out and about, perhaps even unaware they might be infectious. If it puts you on your ass or worse, you aren't out spreading it.