Jerry has delegated the contract negotiation to Stephen Jones, who has been in the Cowboys front office for his entire adult career after graduating with a Chemical Engineering degree from Arkansas in 1988. I don't know if you realize how smart you have to be to get a degree in Chemical Engineering. He learned contract negotiation from someone you've already acknowledged as a brilliant businessman - Jerry himself. If Stephen Jones is not qualified to be an NFL front office executive, having worked in the Cowboys front office for all but one year after he graduated from college, then who is?
By the way, if 34 years in the NFL, plus the induction into the Pro Football Hall of Fame doesn't quality Jerry as a football man, pray tell what does? Occasionally, when Stephen can't get a contract done, Jerry steps in and gets the deal done, like he just did with Zack Martin. Jerry also takes the heat when parting with players like DeMarcus Lawrence, Dez Bryant, DeMarco Murray and Ezekiel Elliott - meeting with them personally instead of delegating that crappy job to someone else.
Jerry has delegated the player evaluation to Will McClay. Jerry asks probing questions to determine if his football people are absolutely convinced of their decisions - like he did in the draft room when they had the discussion between Mazi Smith and perhaps taking an offensive lineman. When McClay insisted Mazi was the best choice for the team with conviction, Jerry blessed his choice and moved forward. Similarly, no matter how much he wanted to draft Johnny Manziel, he deferred to the talent evaluators, and chose Zack Martin instead in 2014.
Every single Head Coach he has had, including Jimmy Johnson, has told everyone that Jerry never interferes with coaching, depth chart or game day decisions. Every single one. What was Jimmy's beef with Jerry? He brought an oil sheik into the locker room. What was Parcells beef with Jerry? He acquired the 3rd best wide receiver in the history of the NFL without asking Bill's permission. He didn't force Bill to play T.O. But T.O. was so obviously superior to any other receiver, that of course Bill played him.
What else do you want Jerry to delegate? I suspect you just don't want him to be the front man for the organization, and be the mouthpiece for the Cowboys. Other than that, the only "football" thing Jerry does is deflect bad press away from his players and coaches, and be the hatchet man for star players. He absorbs the criticism for others. Otherwise, he generally rubber stamps the decisions of his "football people." Or maybe you resent his relationships with the players. Whatever. I honestly don't understand what else fans and media want Jerry to do - other than die. I've see those posts, and the people who wish for his death should be ashamed of themselves.