Ryu will beat Jin, seriously. You can say Jin can wreck cars apart of whatever while he yawns, and Ryu is still going to put him down. Also what Ken performed on the Cyborg was not his Shinryuken, that would have obliterated him. All he did was Shoryuken his ass--at least that's what the American dub names it and it does look like a Shoryuken instead of a Shinryuken. And btw Ryu's Shinku Hadouken which is what he performed at the end of the SF:A anime is far superiour to the Mesatsu Go Hadou, so naming Evil Ryu's feats are needed to stress just how superior his Shinku Hadouken is compared to the Murderous Intent.
Anyway I don't like to use the Animes as evidence to superiority/experience/etc. since most SF animes have different levels of fighting.
Ryu's technique alone would be the edge he needs over Jin in my point of view.