Eli: I am not here for her.
Gibbs: Ziva.
Eli: Yes.
Gibbs: You’re not here for Ziva. She has a name.
Oh, man. I know Gibbs can be problematic AF, but I will always appreciate the pre-S11 era Gibbs who stands up for Ziva, especially to her father.
It’s not that Ziva can’t fight her own battles, but it’s that she shouldn’t have to do it alone, especially not with her own father. Eli continually treats Ziva as a cog in the wheel; yes, it may be a cultural difference or professional training that does that, but especially post-"Good Cop, Bad Cop”, Gibbs’ mission has been to make Ziva aware that she is a person; she is not the sum of her past and her faults, she is not just a pawn. She may be a soldier, but she’s also human, and her life has as much value as anyone else’s.
You can argue that Eli treats Ziva the same way he would any of his officers out of necessity, because he can’t afford to let his personal feelings cloud his judgment. (To which I’d say, that’s bullshit, because his personal feelings and narcissism already have, the way Jenny’s personal feelings clouded hers, but that is another discussion, and also I just don’t like Eli.) But, Gibbs is here to remind him, and us, that Ziva is worthy of the respect of her personhood. By saying her name, it makes her real. It makes her feelings real. He was there to see the fallout from Somalia, and even before that, the fallout of Ari, and he understands Ziva in a way Eli probably never will.
Understandably, Eli gets his hackles up, because he is her father, and he knows full well that Gibbs is attacking his role in Ziva’s life, which is why he’s all, “Yes, I’m aware she has a name, I gave it to her,” but Gibbs’ point still stands. Eli’s fatherhood is performative, but Gibbs’ is actually concrete and actionable.