Absolutely, the quickest way to lose faith in "The Science" is actually to do Science in a formal research institute....

Isn't that true for everything, though? If I weren't a software developer I wouldn't know that I have to worry about questions like "has this plane been rebooted in the last 51 days?" [1] or "does this bank offer anything other than SMS as second factor?".

Maybe structural engineers feel safer after their Master's when they traverse a bridge, but I bet that's more the exception than the rule.

[1] https://www.theregister.com/2020/04/02/boeing_787_power_cycl...

Seeing how the sausage gets made makes you realize ALL the downsides and things you'd rather not have known. That doesn't mean you can think of a way to fix science. Let alone get the required funding to make an actual attempt.