This stuff is all agenda weirdness. I'm not arguing that D'Antoni did a good job, he didn't. He also was not provided with the kinds of players he would have needed to be any version of successful. It was all a disaster.
That being said -- Melo's best position is a stretch 4 that gives him the ability to work outside-in. To get as many open jumpers from the outside as he can... and work off that to get to the hoop against bigger guys.
As we saw this season with this distribution, running the offense is not really the problem... he can pass, he can identify and find open guys, he can even get excited/inspired by sharing the spotlight with a teammate.... Woodson's offense was horrible, and worked against what is best for Melo. He just like Woodson more.
Woodson was NOT "worth buying into" -- and honestly, neither was D'Antoni. But the style of play that D'Antoni was pushing, more possessions, more open threes, more transition -- that is better for Melo's game, than slowing it down and having to beat guys 1-on-1, where he ends up settling for long jumpers anyway.
And really, the fact that melo "bought into" woodson, is exactly why he shouldn't be a deciding factor in picking the next coach. He didn't like the Porzingis pick, either. He doesn't know what's best for the team, or himself. He only knows what he wants.