Do you see evidence that cases are increasing in the unvaccinated much faster than in vaccinated? I'm not finding anything that supports that assertion. If you can point me in the right direction, I will look with an open mind.
My point was, if transmissibility has increased to a degree that cases are increasing vaccinated populations, isn't it logical to conclude that cases in the unvaccinated would have increased to a much greater degree?
Symptoms for vaccinated are less severe and possibly even asymptomatic, so vaccinated are less likely to quarantine when they contract Covid. This could infect more people not less.
Also, vaccinated are supposed to wait longer before testing for covid after exposure since they are more susceptible to false negative results. This also could infect more people and have a counter result.
If vaccinated people are highly infections for 15 minutes less than unvaccinated, that's mitigation. Your statement is extreme (of course my example is silly, but your statement is almost certainly wrong in a meaningful way).