Omega Hux is alpha Snoke’s prized pet. Hux is kept in Snoke’s chambers at all times, only brought out on very rare occasions to be shown off for his beauty. Hux escapes and seduces alpha Ren, seeing the big, powerful alpha as his best bet to get away from Snoke.

Part of the reason Alpha Hux wants Omega Kylo so much is because he can see how Snoke controls him - keeping him on the edge of a not fully formed alpha/omega bond. And how it drives Kylo wild and feral, like a beast that can just be pointed in the right direction.

I was looking through my old WIPs and found one where Omega Kylo is Alpha Snoke’s mate and Snoke is just using him to try to conceive an heir but Snoke is actually infertile and is just putting Kylo through hell. Kylo goes back to the Finalizer after being beaten black and blue by Snoke for not having conceived again only to be met by Alpha Hux who can’t stand to see the omega so weak and abused.