No.
Seriously, I can't see the Suns "dumping" KT and that's more or less what they'd have to do get much cap relief. Considering how getting a big defender was a DEMAND by Amare a year ago, I'd think twice about dumping his hand picked choice.
I know I must sound like a broken record, but the issue with TT is not the first year money, but the length of the contract. The Suns can't afford to give him a long term deal. However, he MIGHT take a one or two year deal to get his big shot at a championship.
A few years ago Payton and Malone took smaller, short term deals with the Lakers on the hope of getting a ring. This year Payton went to the Heat for a one year veteran minimum contract.
Might TT take less money and a one or two year with one year opt out deal to play for the Suns? That's the only way he stays. However, it has the advantage for him that he could make himself worth a lot more next summer if he continues to play well for the Suns.