I think it is useful to share links to data sources. The official channels are managed with the intent of influencing people rather than providing accurate information.
I have found what appears to be factual information behind some disinformation claims (e.g. "The vaccinated are more likely to catch covid") and from what I read, immunity from natural infection appeared slightly greater than from vaccination for that population. It was not a controlled study, of course. Other official reports from results in other populations put the protection from natural infection around 1/5th as great. Also not a controlled study. But 5:1 difference between two large data sets.
Official advice to us was to unmask if vaccinated, for a while. And, boosters for healthy adults were not approved by CDC initially, only for those at higher risk. Both of those pieces of poor advice were deliberately given, at risk to the health of the vaccinated who actually wish to best protect themselves, for the purpose of motivating the unvaccinated to change their minds.