The "growing distrust" is due to a concerted disinformation campaign which is independent of the facts.
There was indeed much negative information that the public was not aware of, and they should perhaps have held more skepticism than they did. But the gleeful acceptance of outright anti-science lies implies that they were never really in a position to make a sound judgment one way or the other.
In those circumstances I'll settle for people reaching the correct action: that practically all accepted medicine is correct and they should follow their doctor's advice. If they choose to over-inflate the importance of things that do indeed go wrong, then they are the ones failing to reach valid conclusions.
No, it isn't. Anthony Fauci and Rochelle Walensky were both on record, on television, claiming that anyone who takes the covid vaccine will not contract the virus (sterilizing immunity). The medical community and public health in particular disgraced themselves by going all in on demonizing anyone who raised questions about the covid jabs, mocking Ivermectin as "horse paste", claiming cloth masks were very effective against respiratory viruses (they are not, and this has been known for decades), and even that the concept of acquired immunity from recovering from an infection doesn't exist. These are all trivially verifiable things that happened during covid madness, and instead of walking back some of their false claims they simply doubled down on blaming the anti-vaxxers (even after jab uptake exceeded 80%).