OP, please grapple with this.
This is precisely why Ted Cruz, etc. go on TV and read out the titles of silly-sounding research about beehives and condoms. Because they know that most Americans have no sense of very low-N statistics. A few examples out of hundreds of thousands proves the point!
Of course it doesn't.
Do you understand that? If so, then why are you casually throwing around those talking points that are contributing to the destruction of scientific infrastructure and human livelihoods? This isn't a game.