I mean, how can you trust a stat like DRPM, which considers a player's historic production, age and physical attributes like height in its formula?
Trust? You don't need it, as long as you're clear what's being measured. The map is not the territory; a defensive stat is not defense.
As for historic production: why would you not want a bigger picture, a larger sample size for a player? Things change every day at that level; they get fatigue and nagging injuries, play hurt and play while recovering; and stamina and foot speed fluctuate. They get too low after a loss - or too high after a win.
As for age: it's a good proxy for experience, and on the other end, for athleticism and health.
As for height, it's simply harder to shoot or pass around a taller player; height is a good proxy for size more generally, and even for strength - and those are assets for defense.
Those measures are the kinds of things that are included in actuarial assessments, or, to pick a current example, Nate Silver's 'Polls-Plus' estimation of presidential candidates' chances. They are part, in other words, of a more nuanced statistical assessment.
The more relevant question is: should those things be weighted more or less?
I like the synergy based stats. Looking at how much a player holds opponents below their averages, or who allows the lowest percentage close to the basket, are interesting to me.
Yes, very interesting. Teams are getting some proprietary data from them; when all that eventually becomes generally available we may hope for more sophisticated discussions.
I see two big problems with people rejecting statistics out of hand, or only going by the 'eye test':
1. Most fans are just watching the ball. But any coach will tell you that team defense is way more important than individual defense; so most people only see individual defense, and mostly only when there's a breakdown for one or the other player. So most fans are missing the big picture about defense. To paraphrase the late great Chuck Daly, defense is spacing, and spacing defense.
2. Frankly, there's a big 'echo chamber' effect, where fans repeat whatever they've heard.
This doesn't stop people, on occasion, from being convinced that they're right, or even dismissing contrary arguments.
In the end, there's just no substitute for rewinding and looking at the whole play again.