The thing that increased anti-vaxx sentiment and theories of the vaccines killing you or whatever, was governments around the world going full fash with them.
If you don't take the vaccine, you can't enter establishments, you can't work, you'll be denied healthcare ahead of someone who has been vaccinated, fined if you don't take it (in the case of Germany) etc etc. If you want people to get vaccinated en masse, this is entirely the opposite way of doing it. It's no surprise that there's now been a decline in vaccine uptake in general.
That whole period when the vaccines first came out and the governmental coercion has actively damaged public health messaging for the foreseeable future.