Even two weeks after the event I'd guarantee Chael it still crosses his mind how close he was to being a world champion. We have all seen the interviews where "Real Chael" makes it obvious how important being a champion for "just one night" would be to him. This time he was less than 30 seconds away from stealing the title from Jon. I'm sure that immediately after the fight Dana was happy that they dodged that bullet of Jon dropping the belt like that. If the worst would have happened I do think it could have worked out for the best if it was handled correctly.
Jon's biggest weakness among hardcore fans is likeability. Many fans feel that he is arrogant and needs to be humbled since many of the things in his MMA career have come so easily to him. He had the DUI, but nothing really bad happened to him as a result of that. It is obvious how important being champion is to Jon(hell, ask Rashad) so him losing it in any fashion would be devastating to him. Him losing it in that fashion could serve as a sort of penance for "haters" who dislike him for that reason. I could serve to humanize him significantly because Jon would be experiencing a "shit happens" moment that us "normal people" go through.
I see it as a similar situation to what happened to LeBron James in the wake of The Decision. A significant portion of his fans hated him as a result of The Decision and rooted against him when he was with the Heat. After the Heat lost to the Mavericks in The NBA Finals it seemed like LeBron had paid the cost for his "sin" in the eyes of those fans. Since LeBron has won his first title he has gone back to walking on water to most NBA fans and media. Jones being an uncrowned king could inspire many hardcore fans to root for him in their rematch because he would still "deserve" to be the champion.
The biggest benefit would be the ability to put Jon Jones on Fox. I don't think anyone would buy a Jones vs. Sonnen II PPV(the UFC is trying to sell Cain-Bigfoot II so maybe they think we're really dumb) so it would be a great opportunity to expose Jon to more of the masses. Jon is currently too big of a draw to take off PPV, but not as big as he should be because he started blowing up after he got the title. I think there are large amounts of casual fans who know of Jon Jones(based on ESPN coverage of his fights) but have never watched him fight. Putting the rematch on Fox will give those people the opportunity to watch him live.
Jon Jones is one of those fighters who I use to introduce people to MMA. He's always exciting, he uses all facets of MMA, and he satisfies blood lust. In the wake of big PPVs and Fox cards I like to go on Twitter to see general fan reaction. I saw a couple tweets directed towards Jon saying it was their first PPV and they're buying all of his future fights. So if he provided a similar performance on Fox I think he could add to his drawing ability quite a bit. I personally feel that UFC on Fox 1 helped Cain and JDS add about 150,000 buys to their events. Both were fairly bad draws before that fight(not including Cain-Lesnar but that was because of Brock) and became good draws since(500K+ per main event). With a similar rub Jon would be pushing 600,000 buys every time he fights.
So after the internet would have exploded this could have been a real win for the UFC. The biggest damage would have been to Jon's record, but that is a small sacrifice. Records in MMA aren't as important as they are in boxing and Jon would still be viewed as undefeated by everyone except the record books. If handled correctly it would have gotten the UFC much more than what they got as a result of Jon winning.