For every LeBron or Dwayne Wade there is a Carmelo Anthony or Chris Bosh (circa 2014) whose primary concern is finances. The only reason Bosh to Houston became a possibility is because Miami was asking him to take a significant pay cut whereas Houston could offer the max. Heck, even Pau Gasol was driven by money to a lesser extent. (He left LA who offered 2 yr/$22 mil, but he chose the Bull's 3/$22 over the Spurs' MLE).
The prototypical timeline for a star in the cap era (through observation) is:
1) play out rookie scale
2) Make as much money as possible on the soonest extension
3) Take a pay cut for the good of the team
LeBron followed this (max extension in Cleveland before leaving). The only reason he had a second go-around was because he came into the league so young and had an opt out during the "greater good" period. LeBron is actually earning the max now. Wade followed this timeline, too. Carmelo followed this, except he traded step 3 for a second go at step 2. He recently opened a venture capital firm. Bosh followed this timeline out of order, as he sacrificed and then got his payday. In other words, most players throughout the free agency era follow this timeline. The few that mix it up throw the league for a loop, but they eventually err towards the step that they missed. The repercussions then come down, when Bosh will be payed max at the age of 35 or LeBron at the age of 31 is re-upped for (presumably) the full max.
I honestly think that the only reason we are having this discussion at all is because LeBron James singlehandedly discovered and executed how to best take advantage of the cap. He came, made money (first extension with Cleveland), flexibly sacrificed (Miami, but with opt-outs), won, subsequently increased his (already great) public image, opted out, made money again while further increasing his image (return to Cleveland at max), and will re-up in two years, still at the second half of his prime, when the cap raises significantly. LeBron has made a boatload of cash, branded himself incredibly well, and really taken advantage of nearly every policy the league has. I may not be the guy's biggest fan, but I have to admit that he (or his advisors, who knows) are pretty sharp.