I have seen Jared have several issues over his time in the NFL....Seen him play lights out and seen him do things that I say WTF was that.....All that said I have always thought he was a fighter, he has always done past what's needed to play hurt, he's taken big time abuse at times on the field with no flags thrown, he never got in the face of refs like many others do when that happens.
I bring these things up to state my opinion that he would not shrink away from a competition, he wouldn't sulk over it or try to cause division on the team. I think competition is what has been sorely lacking in his growth. Some things I don't ever think he'll get, but I see nothing in Jared that makes me think he would demand a trade or want a trade if he's has to go against Wolford, and IF Wolford won out Jared would help in his backup capacity, just as he did when Wolford came in this season.
If Jared did demand a trade with a competition in place straight up I'd try my best to get rid of him ASAP...don't think he's wired that way, I think as any athlete should it's all about competition, and it should improve them both along the way.