I'm not American so I could be way off on this, but I can't help but wonder if the politicization might've actually helped in this case? My big assumption is that Trump supporters would normally be more skeptical of vaccines. If non-supporters would trust the vaccine regardless, then perhaps politicizing it just means that more Trump supporters would also take it?
This will be overcome. It was about trusting the scientists instead of the White House. I'm fine with it now. But didn't they pressure that CDC director to approve it that day or get fired? They were probably going to approve already. But what if they weren't far enough along and some of this nonsense would've played out like that? It'd have been very harmful for the trust in the vaccine.
I trust the scientists and doctors who've said it's safe and explained the reasons it was approved faster than normal that have nothing to do with Trump, aside from his botched preparing for and handling of the pandemic necessitating it.