Does pausing to investigate such an incredibly rare occurrence increase the public's trust in vaccines (because they see the government is being extra careful with safety data) or decrease it (because skeptics will use this as evidence that there are problems with the vaccines)? I feel like it's mostly the latter, but I dunno.
Not to mention all the COVID cases that might have been prevented while the rollout is paused to investigate a potential side effect that's less than one in a million.