If I'm understanding correctly, which I might not be, then I disagree with some of what you wrote. I think the "Per 48" minute arguments is very useful... when comparing players with roughly similar minutes (say Player A has 40 mpg and Player B has 35).
The reason there is no "per 1,000 innings" in baseball is because A) a lot of the stats are a percentage (BA, OPB, OPS, ERA, etc) and are automatically adjusted for "per attempts". The other big baseball stats (HR, RBI, R, W, Ks, etc) are running totals, rather than "per game" as most basketball stats are. Even so, I've looked up those stats on a "per AB" basis plenty of times, and hear them referenced quite often.
To touch on your Powe vs. KG argument, I think you came to the right conclusion but via the wrong path. I, in all my KG love and homerness, would argue that Powe might be every bit as good of a rebounder as KG (at least this year). Powe is a menace on the offensive glass, which balances out KG's edge on the defensive glass. But does that mean he is as good as KG at rebounding? No. Why? Because when Powe is in there, his job is pretty clear. 1) Rebound the ball, 2) Finish around the basket, 3) Play smart team defense. When KG is out there, he is managing a list of responsibilities 3 or 4 times as long.... which brings me to another thing...
... the area where I think stats fall very short. Yeah, Al Jefferson averaged more points and boards than KG. But there is so much to the game that doesn't have a statistical measurement, intangibles happen all game and are a huge part of the outcome.
Anyway, in brief... Yes, I do like statistics adjusted for per minute basis when the sample size is significant. When comparing a 40 mpg guy to a 16 mpg guy? Not so much.