Having Hawkgirl constantly talk about how she's linked to Carter and has loved him through time, yet constantly chasing everyone BUT him wherever she shows up, is getting old. DC needs to "finish or get off the pot," so to speak. Either drop the reincarnating lovers element (which may be happening in the current run of Hawkman, but I'm going to assume it's not given some developments) or actually develop it. At this point her narrative is that she fights her fate to be with Carter by picking a different partner, which if that's what DC really wants to do, but then why not just drop the whole thing to begin with? If she's going to be fighting fate, one would hope it's by not doing the same thing she did in the animated series, the pre-Flashpoint iteration of the character and now in Snyder's Justice League.

I just don't get it. You're swapping her predetermined love for Carter into a predetermined need to love anyone but Carter. It's a wash. Just absolve them of the fate cycle or embrace it and let the Hawks fly in tandem again.