Not to be a wiseass, but everything you post is in a wiseass sense.
Pot, kettle.
If there's a need for the ball, then isn't turnovers also a consideration?
Sure. But that wasn't among the choices I was provided. It was "scoring or rebounding". Plus, in the fundamental sense of 'normal' teaching...I put a great deal of weight on rebounding. More so than turning the ball over, yes.
For the record, creating turnovers falls into the defensive category; turning them - offensive. But still outside the traditional structure of a linear basketball dialog.
An argument should have been made that DEFENSE leads to rebounds in the first place (after all, percentages are decreased when a shooter is made uncomfortable).
But I'd have argued that defense merely comes later in the cycle of the normal progression: It's rebound, outlet, high percentage opportunity, finish...transition to defense (preferably simultaneous to the opponents' transition to offense, sooner if possible). Repeat.