But there is a multiplicative effect - the sparser unvaxxed people become, the less general spread there will be.
The vaxxed are still spreading and it is true they cause selection, but this has been well studied and widespread vaccination absolutely would help reduce the rate of mutation.
I don't understand how this could be. Studies have shown that peak viral load is the same for vaccinated/unvaccinated, that means roughly the same number of replicative cycles in vaccinated as in unvaccinated. Each replication is a chance for the virus to aquire mutations, so same number of replicative cycles in vaccinated/unvaccinated means same rate of mutation in vaccinated/unvaccinated.
Spread is also less common among the vaxxed as I said, so even if it turns out to be no difference in load, there is still less opportunity for selection.
https://twitter.com/trvrb/status/1462816243245719558?t=9OCuB...
How so? Load means number of virus particles. Number of virus particles increases with the number of replication cycles. The probability of mutation increases with the number of replications. So, same number of replication cycles, (roughly) same chance of mutation.
https://www.cdc.gov/coronavirus/2019-ncov/science/science-br...
https://jamanetwork.com/journals/jama/fullarticle/2786040
The science around viral dynamics re: viral loads is much more uncertain than this - so I am not saying it is definite that the viral loads are less, only that there is both a mechanism and some evidence to suggest it is either less or quicker to go down (but the evidence here is mixed and it likely wears off).
But nonetheless, the science on transmissibility - even with breakthrough, is more certain.
Here[0]'s a study from Nov 19th, saying that:
No significant differences were detected in duration of RT-PCR positivity among fully vaccinated participants (median: 13 days) versus those not fully vaccinated (median: 13 days; p=0.50), or in duration of culture positivity (medians: 5 days and 5 days; p=0.29).
[0] - https://www.medrxiv.org/content/10.1101/2021.11.12.21265796v...
Please provide some citations to back up your claims.
A few citations on why the evidence leans towards reducing the spread being more effective at reducing variant selection: https://twitter.com/trvrb/status/1462816243245719558?t=9OCuB... Here is a citation regarding viral load. https://www.nature.com/articles/s41591-021-01575-4