You can’t use genetics to track ancestry; especially not over the course of thousands of years.
Every generation loses roughly half the genetic information from the previous one, so even an ancestor from a few hundred years ago is unlikely to share much, if any, DNA with you (aside from the DNA that’s common to everyone).
I assume the point of this article is to point out that claims of rights to what is now called “Israel” as an ancestral homeland are bullshit, but that’s the wrong way to make that argument.
The concept of rights to an ancestral homeland are in fact bullshit, but don’t point to pseudoscientific race science to prove it.
Instead, just point out that almost every person on earth has ancestors who lived there so ancestry doesn’t give you any more rights to that land than anyone else.