Calling oneself a "survivor" because of what happened to your ancestors is absurd. It's the playing of the victim card for generations, and becomes increasingly meaningless - how many people do NOT have ancestors who have experienced wars, etc? That doesn't invalidate the chain of cause and effect which leaves future generations in a less than optimal situation, epigenetics, etc. but they just aren't "survivors" and claiming to be is pretty low.
Eh. That's kind of just semantics. The girl was an asshole to accuse a grandson of a nazi of anything, and I don't think anyone is arguing otherwise.
But direct descendants of concentration camp survivors choosing to label themselves as "survivors" isn't that crazy. It was an attempted extinction event, and a majority (2/3rds) of Jews globally were wiped out. The global jewish population dropped from ~9 million to ~3 million in the span of a few years.
So saying that the 3.5 million surviving jews, and their descendants, could be considered "survivors" isn't necessarily incorrect. Consider the definitions:
a person who survives, especially a person remaining alive after an event in which others have died.
the remainder of a group of people or things.
a person who copes well with difficulties in their life.
The 2nd and 3rd definitions can easily apply to any Jewish person alive today, particularly within the context of the holocaust and it's aftermath. Is it dramatic? Sure. But so was the systematic eradication of 6 million people.
I think a lot of the "survivor" mentality is pretty heavily rooted in the jewish cultural mindset that developed in the wake of the Holocaust, particularly in and with regard to Israel. Israel absolutely has a pretty staunch "survivor" mentality. It's not necessarily intended to be a literal statement as much as a defiant declaration of purpose or something. IDK. My culture and religion wasn't literally decimated 70 years ago, so I have no personal frame of reference.
Not that this is a common trend or something. I've never met a jewish person that would ever call themselves a "Holocaust survivor" who hadn't actually been in the Holocaust. And while I understand how someone could logically and sincerely make the argument that, in a general sense they are a "survivor," it doesn't necessarily mean that they're not totally trivializing actual Holocaust survivors.