There's also the fact that the cap could very well stagnate, or at least increase so incrementally as to make no practical difference.
I've heard some commentators speculating along these lines -- that the NBA will try to phase in the revenues from the new TV deal to mitigate the salary cap jump.
While they may try to do something there, I doubt they can mitigate it so far as to "make no practical difference".
The TV deal will result in a huge bump in BRI -- there is no getting around that. And if the NBA tries to play shenanigans that push off the appearance of a correlated bump in the Salary Cap numbers, then the NBPA is going to cry, well, "Shenanigans!".
Owners can accept a deferred revenue model because once the value of the contract is locked in that pretty much gets locked into the value of their franchise.
But individual players are transitional -- they only realize the value out of BRI in current contracts. And any one of them could get hurt at anytime, ending their career. They will want that money now (in the form of contracts signed over the next couple of years), not deferred to be paid to future players. The CBA guarantees a little over half of BRI to the players.
So I expect a lot of pushback against any overly aggressive deferral plan.