It’s completely normal for all medications and especially vaccines to be monitored very closely after they are first approved (also called "phase 4").

This is a completely normal part of the approval process, simply because (phase 3) studies with a couple thousand participants will miss very rare side effects (if they exist) because, you know, statistics.

Of course you can trust a vaccine much, much, much more if it has been administered to a couple billion people as opposed to a couple thousand people, with no serious side effects being observed (or the side effects that are observed accounted for and reacted to).

You implication that this is somehow newspeak is deeply weird and irrational.