Correlation found, but causation works both ways with trust.
While we have shown the impact of trust on covid vaccination, correlations do not indicate causation. Trust is a two-way street. If governments do an excellent job vaccinating their population, it might alter people’s overall trust in their institutions. Appropriate, transparent responses will improve the ability of countries to deal with the effects of the COVID pandemic in a virtuous cycle, suggesting the relationship flows both ways.
— Get Vaccinated? How Trust In Institutions Determines COVID Vaccination Rates In The EU · Forbes