I didn't write "belief" but "trust", which is a related but different thing. You'd be very naïve to think that the powers that be are automagically uninvolved in both the Scientific Truth^tm that trickles down to the layperson and the source research and studies (both due to funding, censorship and outright lies in some hot fields like sociology).

tl;dr: I'm ready to believe in the vaccine theory, not in the infrastructure; applied science doesn't live in a vacuum