No significant number of people have died or suffered permanent harm from taking any covid vaccine that I'm aware of. Yes certain countries have at various times suspended distribution - the best explanation was concern that if any of these vaccines did end up killing people, it would destroy public trust to the point vaccination uptake would be massively reduced. But those very same vaccines are still being administered to 100s of millions of people. I think we'd know by now if they really were harmful.

Institutions changing advice and reacting with an abundance of caution to protect public health causes you to lower your trust in health regulatory agencies?

What would you need them to do to increase trust?