Your US section is mostly accurate (and mortifying for the "trust the government" argument) in terms of how it was mentioned, but I disagree the "Trump's vaccine" segment. The numbers of the rollout might fit that story after the fact, but doesn't make it true.
Moreover, the entire odyssey of you should get this vaccine but only if you're in a very specific age or risk pool and let's punish people and hospitals who violate this set of ever-evolving poorly communicated rules did happen and might be even worse.