Economic growth and human development over the last several centuries has been the result of a complex web of interleaved prerequisites, that said, trust wasn't one them.
People trusted institutions for thousands of years prior to the scientific revolution. Europe had plenty of trust in religious institutions between the collapse of the Roman empire and the scientific revolution, and you know what it got them? Superstition, witch hunts, barbarism in the name of proselytizing, failed pandemic responses, and a near complete stall in technological and scientific breakthroughs for a millennium.
What the scientific revolution brought us was the decision to not trust, but to reason, to measure, to hypothesize, to verify. Facts matter. Humans are stupid and it is human nature to place trust exactly where trust is least warranted.