The issue is much more nuanced.

I will gladly take an FDA approved vaccine like any other for such reasons.

None of the available ones right now are. Yes even Pfizer isn’t as the approved Pfizer vax (Comirnaty) is not the same exact vaccine as the one currently available/being used.

Edit: In short, many of us fear that the regulatory processes that govern our healthcare have been hijacked by corporate interest. We all know this leads to corners being cut as that’s inevitably how businesses are run.