Yes.
I'll do this from memory because it's been a while since I did a deep dive into Rothschild history, but I think the "Red Shield" dynasty chose to become Jews about 300 years ago for their own protection.
Since then, they have bred almost exclusively with genetic Jews, becoming a family of definitively Jewish breeding.
By the Jew's own definition, anyone who has at least one Jewish grandparent qualifies 100% as a Jew. The Rothschild have a dozen generations of Jewish breeding, making them definitively Jewish in the same way as a Scotsman with an unbroken like of a dozen generations of Scottish ancestor, is definitively Scottish.
Yes.
I'll do this from memory because it's been a while since I did a deep dive into Rothschild history, but I think the "Red Shield" dynasty chose to become Jews about 300 years ago for their own protection.
Since then, they have bred almost exclusively with genetic Jews, becoming a family of definitively Jewish breeding.
By the Jew's own definition, anyone who has at least one Jewish grandparent qualifies 100% as a Jew.