This might be the study you are talking about. It shows a "waning of immunity" by Isreali scientists after the second shot of Pfizer. I see no sources saying the Pfizer vax causes COVID. Or perhaps that's not what you meant.
https://www.nejm.org/doi/full/10.1056/NEJMoa2114228
I never suggested you should believe the media outlets you suggested. I, for one, read both sides of the political fence. Somewhere on both sides are glimmers of truth that need to be verified. There are many sources about COVID and vaccinations, hospitals, research institutes, medical specialists, unconnected to any media outlets. I find them helpful.
For some reason, some media is seen by many as fake while other media as true, although all media is there for one reason, to make money and tell their listeners what they want to year even if they have to tell lies to do so. Right wing media, whether it is Fox News or social media, tell outright, blatant lies. Cross checking them as well is my suggestion plus find out what the other side is saying, to find those glimmers of truth. And those in the KGB (FSB) say, trust but verify.
I don't feel safe from Omnicron, due to my daughter's experience and I cannot get COVID again. I am being very cautious.