So people will believe this like they believe the hole in the sheet. Those who want to know will ask, and most everybody else doesn't matter.
I agree with you that it doesn't make a whole lot of difference to us. I'm into it more for the jokes on Twitter than anything else. But as
@Euclid said, there are people with real harmful goals using this to further their agenda. And Shluchim and people who deal with the secular world are already dealing with people who are taking this show at face value. Like the hole in the sheet, how many people take it as fact and don't ask because they're too shy/awkward, or just assume it to be true anyway? It's far from the biggest issue facing Orthodox Judaism, but it is most certainly going to have somewhat of an effect on some people.
And yes, antisemitism is based on dehumanization. The more we are dehumanized, the more likely we are to be discriminated against. To what extent this show will play a role, none of us can know, but it definitely adds to a sizeable and ever-growing mainstream portrayal of us being "other".