> But eventually, someone needs to do the work to convince people "science is trustworthy."
Yes, and science as an institution has been failing pretty badly at that. I posted this on HN just last week, but it's worth repeating:
1. Science journalism is almost universally terrible, so people already get sold half truths and sometimes even outright falsehoods from allegedly reputable sources. Messaging needs dramatic improvement.
2. The replication crisis has shown that up to 50% of published results in medicine can't be replicated (and up to 66% in social sciences), and there are virtually no incentives to replicate or publish negative results, and too many incentives to data mine/p-hack and publish sensationalized results (in fact, results that fail replication get cited more). There are now some efforts towards correcting this, but it's only just beginning.
I think there's another part that is also underappreciated, which is that the honesty of the public faces of science should be above reproach, and if someone in public facing positions lose their credibility by violating public trust, they should no longer be the public face.
The best recent example is Dr. Fauci. He has openly admitted to lying to the public on multiple occasions, such as whether the public should wear masks and about vaccination levels for herd immunity. It doesn't matter whether you think he did the right thing in those cases, he has unquestionably violated public trust and eroded trust in science as a result.