1 in every 800 injections

Here's the paper by Joseph Fraiman and Peter Doshihe's that he's talking about: https://www.sciencedirect.com/science/article/pii/S0264410X22010283

The part the anti-vax crowd ignores is that the control group displayed "serious adverse events of special interest" as well.

Got that?

The people who did not receive the vaccines also displayed the same serious reactions.

Look at table 2.

The difference ranged from as little as 1.06 (almost the same number of reactions) to 1.57 (half again as many).

So if people who didn't receive the vaccine are having almost as many serious adverse reactions then there's more going on than just the vaccines.