Weird analogy.
Yeah, there are people who don't "trust" the National Weather Service or NOAA when they issue severe weather watches & warnings for *increased risk* of flash floods, tropical storm winds, hurricanes, tornadoes, etc. Those agencies have all the modern weather science tools, aggregate data -- and even a view from space -- to make really accurate *predictions*; but some people will still ignore (or even flaunt) local evacuation orders and hold storm parties. Since they've been thru plenty of storms and done just fine, the forecasters must be wrong.
It's not just faulty risk analysis (to think you know better than the experts), but selfish. And disrespectful of first-responders and rescue teams who'll risk their own lives to save even the reckless, feckless, cowboys who don't give a damn about anything or anyone if it comes from an "establishment institution".
If folks are doubting experts *just because they're experts*, that "anti-establishment" bend is a flawed political decision, and not in their best self-interest.