There is no doubt that D'Antoni has the rebputation for having a quick hook, but I'm not sure it is quite as quick as people make it out.
As I show below, Banks played enough in November and early December to in effect play himself out of the rotation. Jumaine was just awful. He shot just 27.5% from the field and 31.3% for three. Burke's play was widely criticized. There is a case to which Pike and Marks might have been given a bigger chance, but realistically Rose is the only player where the "quick hook" seems justified.
October games (1 game) and minutes:
Banks 1 16
November games (13 games)
Banks 13 152
Rose 10 123
Jumaine 1 13
Burke 2 11
December (15 games)
Banks 9 50
Rose 6 37
Jumaine 7 69
Burke 4 16
January (16 games)
Banks 8 80
Rose 4 23
Jumaine 7 38
Burke 4 21
Banks put up decent numbers in February, playing 9 games. His Feb minutes averaged 19.4 minutes per game for 9.1 ppg and 50.8% shooting, plus 2.1 assists per game.
However, he fell out of the rotation again. In Mar where he played just 3 games at 7.3 minutes per game and 2 games in Apr.
Banks played 11 games in a row from Jan 26 to Feb 20 then 4 DNP's with a final appearance on Feb 28). The Suns won 5 of the first 7 games in that string, but then lost 3 in a row where he played heavy minutes (20, 34, and 29). The Feb 20 game was one where he played only 9 minutes and the team won. His last game, on Feb 28 was one where Banks played 16 minutes and the team lost. In Mar and Apr. Banks had only one game with more than garbage minutes, the loss to GW on Mar 29 when he played 14 minutes.
It's not totally clear from the stats what Banks was or was not doing; but it was not like he did not get opportunties to play. Unfortunately, the team began losing with him in the rotation (2 wins in a seven game sequence).
As for the hook with the other guys, there is a very good case to made why they didn't play. Jumaine was a disaster, Burke's defense was not very good and he took too many shots, and we saw so little of Pike and Marks that there was no reason to call it even a quick hook. The only "controversial" decision was to not use Rose dispite his good stats.
The tough part for Rose was that the team began playing better once his minutes went down. Perhaps the hook was quick, but there were comments about his weak defense that may have contributed to his falling out of the rotation.
Maybe D'Antoni does have a quick hook. None the less, it is hard to tell that from last season's stats that he cut off someone who would have helped during the playoffs..