Every group, business, person, and country has lied at some point in their existence. Trustworthiness is not a binary value.
Instead, he can only say things that "sound like what a trustworthy person would say", which is why they have to stick with medical dogma even when it's clearly expired.
Sure you can. Vaccines aren't computer programs and their side effects can't be programmed to happen after waiting 10 years; instead, they'd happen very rarely at shorter times and then become more likely to happen over time. So you can catch them by very carefully observing a smaller population.
https://twitter.com/nntaleb/status/1467855689531940867
I'm in a study with a silly name (HERO-TOGETHER) which basically means Google emails you every other month to ask if you've died yet. So far I haven't.