Makes sense, I never took into account Eliot vs Gen Fu because I thought in DOA4 nothing was canon other than what happens in Helena's ending. Unless you were speaking about DOA5, then for sure Eliot is not more superior.
The story isn't very clear cut on Hayate vs Rig, but if I remember during the cut-scenes Hayate was panting out of breath barely standing Rig was smirking at him then he was captured. I guess to be fair it doesn't say who won or lost, but Rig looked fine to me. Kasumi shows up and defeats Rig. As far as Ayane in DOA, to clarify her getting raped I meant her continuous losing streak versus the undefeated Kasumi.
As far as the story goes I don't really care, my initial point was if there can be characters in DOA that're self taught professional fighters and defeat characters who were taught by masters then Irene could be playable. I'm not saying she needs to be in league with then the ninja's, that's ridiculous lol.