I think he's starting from the premise that all vaccines are ineffective. He's hoping to prove that vaccines have never been effective in the past, therefore the Covid vaccine is useless, too.
However... the proof has failed quite dramatically on his first try, Polio. Perhaps next he'll fail to prove why the smallpox vaccine is ineffective. Or he might go even bigger, and fail to prove that life expectancy hasn't increased dramatically around the world since the advent of modern medicine. Let's wait and see.
Thanks to vaccines and modern medicine, life expectancy has risen dramatically, let's also keep in mind how often it would be for babies to die after birth.