(Are you going to argue that every Israelite is a Jew?)
(Or argue that a Benjamite is of the seed of the Jews?)
Is that not clear?
I will argue that, yes. "Jew" is a shortening of "Judah", to be sure, but stands for the Great House of Judah, not the tribe of that name- And the Tribe of Benjamin was a part of the House of Judah.