No. The data is data. The data is collected, however it is not based on scientific observation.
For example, I have observed a HVAC unit comprised of 6 vaccinated people and 5 nin-vacvinated people. All 5 got COVID in the same week, none if the 6 did. 4 of the 5 have recovered, one (in his mid 30's) remains in the ICU. The 6 who took the vacvine never got sick.
That is data.
That can be interpreted as proof the vacvine works. But it can also be pointed out that this was not under scientific observation (variables are unknown and it was impossible to have a pure constant).
Scientists say the vaccine works. In theory it certainly should (as the vaccine produces antibodies). But other scientists will point out challenges and point out the lack of true scientific observation.
Your personal observations of the HVAC unit’s staff does not constitute a scientific “study”.
If the Cleveland Clinic publishes a study subject to scientific peer review, that is science, and I’m certain they used the scientific method in coming to the conclusion.
The scientific data shows the vaccine is about 95% effective in preventing infection from COVID virus. The data is unclear concerning side effects, though it seems to trend toward a small risk.
Obviously, if you haven’t had the virus, the vaccine seems to be a good safe option for adults. The results for children is less certain. Recent reports show major risks of side effects for children that have, generally speaking, very low medical problems if exposed to the virus.
When we get more data, we may find vaccinating children created more medical problems for them than had they not been vaccinated at all.
If you have had the virus, the scientific data shows a person gets no benefit from taking the vaccine and is exposed to a small risk of complications.
peace to you