That Bulls team would definitely be the favorite.
Let's say that Wade resigns with Miami, and that Bosh agrees to go to Miami, but LeBron hasn't committed yet to any team. What would be his thoughts?
He could go to Chicago and pair up with Rose, but is that good enough to beat Miami or the Lakers? It would be some fun games vs Miami but the Lakers would still come out winners.
If he went to NY then they would make the playoffs and MAYBE get to the 2nd round, but after that they are done.
If he went to the Clippers they would make the playoffs and get to the 2nd round, but they would lose to the Lakers and not make the finals. Plus they would have to compete with the LA crowd for its fans. Lakers vs Clippers regular season games where Clippers are the "home" team would still really be a Laker home game.
Or he would be forced to join Miami. Not that it is a bad thing for him, but it would be his best bet to go to a winning team that will compete for championships every year. Or if all three don't sign max contracts and they get some extra money from Nike and other sponsors to make up a few million a year.
If LeBron wants to be the first billionaire NBA player then the team salary of 20-26 million each year isn't going to get you there. First you have to be a winner, then people around the world buy your products. Then sponsors come at you from all sides giving you money.