I'm not sure if you read the study I quoted here or not, but it is saying that the leaky vaccines tend to increase transmission to unvaccinated people, so your last point is missing the point entirely. We can also look at how it seems to be the case that people who have been vaccinated in the US and who contract COVID after being vaccinated are not being included as COVID cases (recent change in rules) - plus, I think it's correct that in some regions, people who die after having had a single vaccine are being recorded as unvaccinated deaths. So you can see how the statistics are grossly distorted in numerous ways.
I did not state anywhere that this study proves the causation involved - it is meant to fuel further questioning and research that is direly needed.
RE: Science Shows COVID19 Vaccines May Increase Transmission & Drive Variants. Cases Often Increase After Vaccine Drives.