None of your examples are about the vaccine as far as I can tell. Are you suggesting that because some experts allegedly lied about some things in the past, no experts ought to ever be trusted again about any medical or public health matters?
Trust is acquired on the logn run, and can be broken easily. Would you mind if Union Carbide openned a chemical facility near your house? Well, they had the Bhopal disasted[0], but they can be trusted again, right?
[0] https://en.wikipedia.org/wiki/Bhopal_disaster
And trained pilots cause most plane crashes. Perhaps it’s time to place our trust elsewhere and randomly assign 2 passengers to the cockpit on every commercial flight!