(I know it's not a done deal but it's for discussion)
For Nash, pick and rolls are available within triangle. Phil also is good at saving specific P&R sets for ...
fourth quarters or even just playoff games. So Nash should be fresh to run those late in games without wearing down from lugging the ball all game long, all season long.
Nash's fantastic shooting ability will be maximized in the triangle even if his passing ability is somewhat marginalized by the triangle being a two-guard front. (Both guards can handle the ball or initiate the offense.) But don't even count on that, necessarily, because Kobe will play mostly on the wing (small forward) in the triangle to be closer to the basket and not facing the whole defense. With Metta or anyone else kinda sketchy at playing the guard position, Nash might have to initiate the offense more than Phil's usual point guards.
Phil is also open to shifting away from the triangle for longer stretches if personnel dictates it. He did that with Michael Jordan and will embrace the challenge of winning a title for the first time with a star point guard.
Regarding Phil's offense for Dwight, center is easiest position in triangle to learn. Key difference between ...
Princeton and triangle is that Princeton pulls big guys away from the basket, whereas the triangle very much emphasizes the post. The real name of the triangle is actually the "triple-post offense."
So the triangle will fit Dwight, who will be way better than Andrew Bynum at running the floor for deep post position as the first option in the early offense. Dwight isn't a great passer, but he is very experienced at looking for guys from the post. Shaq wasn't a great passer either, but he got comfortable just looking for cutters and then going for what he knows or kicking it out to shooters with the floor spaced well.
Phil also would save pick-and-rolls for Kobe and Shaq (and sometimes Kobe and Pau) until the fourth quarter to gash opponents unprepared for them and unconditioned that night to defend them. Same will go for Kobe and Dwight or Nash and Dwight.