Coaches always teach rebounding as part of defense. Finish the possession.
That has nothing to do with how it should be treated in a statistical analysis.
"My" (as in the entire advanced statistical community without exception including gamblers, people who work for teams, and independents) deliberately includes rebounding as part of either offense or defense because it makes sense to include them as part of offense and defense and not treat it as a separate entity.
Not to me it doesn't, and I was a gambler in those days. At one time the statistical community in baseball looked mainly at batting average and paid no attention to OBP and SLG%. Even if you are right about how this supposed community looks at it, it doesn't mean that they won't wisen up and change their approach at some point in the future.
All that matters in basketball is scoring points and preventing points being scored.
Whether you score points through high percentage shooting or generating a lot of second chance points through offensive rebounds really makes no difference.
Agreed, if you all you care about is evaluating the team without evaluating individual players. With your method, a Dennis Rodman getting 6 offensive rebounds a game grades out as one of the most valuable "offensive" players in the league.
Similarly whether you obtian strong defense by suffocating opponents shooting or doing less well at that but vacuuming every miss it doesn't make a difference.
It does if you want to know which part of your team needs tweaking.
And do you think coaches and GMs really can't look at shooting percentage and rebounding numbers and make the connection as to where their deficiencies are in their overall efficiency? And btw you can't just look straight at efficiency numbers based on your possession calculation either and tell what is responsible for the lousy offensive performance. You still have to look at a second number.
So your okay with the example I gave?
Where a team that shoots 1 for 6 grades out as being a great offensive team because they got offensive rebounds on every miss?
I want to know how efficently my team is valuing the ball and getting and making good shots and/or getting fouled and making the free throws. If my team goes 1 for 6 they should not grade out as a GREAT offensive team. They are a shit offfensive team with GREAT REBOUNDING.