Ryu is more of a fighter than Jin is. Ryu doesn't rely on his power as much as you think; otherwise he would have not been able to resist the Satsui-No-Hadou's lure. Ryu is technically sound. All his techniques have been mastered over the years with constant training and fighting. What is Jin without his papa's heritage? Nada. Fighting is all there is to Ryu. He lives to train, fight and perfect Ansatsuken. So long as Ryu believes he can improve he will keep on fighting, and Ryu currently believes he is weak. Funny I know, but he thinks he's weak.
His mental capability seems to have no affect on him when he is kicking Heihachi's ass. You keep bringing in how he lives to fight. So what. I could live to fight but doesn't make me better than everyone else. I want to know a reason why his skills are so good compared to Jins.
I haven't seen you really show me why hes so good.
I haven't seen you prove to me how Jin's so much better than Ryu either; works both ways, ya know?
And I have told you why his skills are so good. He's constantly training and fighting. In SF 1 he defeated the Emperor of Mhuy Thai, Sagat. During the Alpha saga Ryu is often hunt by shadowloo because Bison wants to his strength to his. During the end of SF A2(I believe) Ryu faces off against Gouki to a stalemate--and Gouki would decimate Jin in less than a heartbeat. In SF 3 Ryu beats and humilliates the game's protagonist(Alex), fights Oro and is then trained by Oro once Oro sees the potential within Ryu.
To make it short Ryu's fighting resume tops Jin's.