I lied. I'm going to take another stab at this.
Here was the original post I objected to:
Points per minute is a strange measure to use Roy. In fact I don't think anyone really uses it. Points per possession and/or TS% are much better ones. They show a bigger difference than using per minute numbers do.
Marquis in: 1.161 PPP with TS% .679
Everyone else: .91 PPP with TS% .551
First, I agree that "per possession" stats are more accurate than "per minute" stats. However, those possessions -- like offensive rating, etc. -- are *team* possessions. Possessions, rather than minutes, account for things like pace. (As an aside, I think "per minute" stats are probably pretty valid when you're comparing one player's production in the same games against the same team, but in general I agree with the point.)
The point of looking at points per minute -- or possession -- is to determine how productive Lebron is against Marquis, or against players other than Marquis, during a finite interval. Obviously, the lower the production output, the better for the defender.
By using your formula, and framing things solely in terms of efficiency, you're losing a large part of the picture. For instance, take the following two examples:
A) Lebron shoots 8-for-10 and has 0 turnovers in 17 minutes, scoring 16 points;
B) Lebron shoots 1-for-1 and has 0 turnovers in 17 minutes, scoring 2 points.
Using your methodology, example "B" looks better.
A) Total points / (FGA + FTA * .44 + Turnovers) = 16 / (10 + 0 + 0) = 1.6 PPP
B) Total points / (FGA + FTA * .44 + Turnovers) = 3 / (1 + 0 + 0) = 2.0 PPP
Now, can anybody actually argue that in example B, Lebron was better than in example A? Of course not.
However, if you look at points per minute, you get:
A) Total points / minutes = 16 / 17 = .941 points per minute
B) Total points / minutes = 2 / 17 = .118 points per minute
Obviously, this second example is a much, much more accurate way to assess how Lebron's defender was doing. Now, looking at points allowed per *team* possession to account for fluctuations in pace would be the most accurate way, of course, but that's a lot different than framing the argument in terms of *individual* possessions.
I know one of your pet peeves is "moving the goal posts", but that's exactly what you did. You started out using this "PPP" -- points per possession -- methodology, and now you're arguing that you're using basketball-reference's calculation regarding usage. You haven't just moved the goal posts, you've totally constructed new ones in a stadium across town.