Actually lucon's mother refer him as "my brother" but I don't really know she mean it literally or not, but anyway.. So ryan knows lucaon's family since forever and shian basically raised by ryan... So ryan is more of a older brother figure (hyung)
My guess is that he's messing with Kyon just to piss off Lucuan. I think he wants Lucuon to tap into his softer side. If Kyon went for Ryan, he most likely wouldn't reject him, though. But Kyon would never do that.
Does Ryan really want to steal Kyon for himself, or is he a troll who likes to tease Lucaon?
I've read too many manhwas since the last chapter to remember shit straight, but isn't Ryan either Lucaon's or Sihan's foster father?