Secondly, any study conducted outside controlled samples will not have an accurate accounting of health factors related to vaccine status. In Israel, for example, the earliest studies of COVID morbidity relative to vaccine status were dismissed out of hand because of this statistical flaw. They showed very high rates of hospitalization and death among non-vaccinated patients, but what the studies didn't take into account was that most unvaccinated Israelis were not vaccinated because they had major health risks that their doctors identified as reasons NOT to be vaccinated. In other words, the higher death rates were among patients who were already disproportionately predisposed to have health complications anyway.
Lastly ... I randomly picked one of those studies you linked and immediately have questions about the validity of the samples and the results. The summary findings indicate that ICU admissions and death among non-vaccinated patients is orders of magnitude higher than among vaccinated patients, and yet the sample size for non-vaccinated people is 4x larger. Without doing a meticulous review of the data I did a quick adjustment of the numbers based on a "normalized" comparison of the two samples, and it looks to me as if the hospitalization and morbidity rates are almost the same.
Ah yes. The old "we can never really know anything"" argument.
You asked for links. I provided multiple ones to multiple sources. I offered to provide many, many more.
You hand wave them away.
Bad faith.