You baffle me sometimes, you use stats to make and argument on one hand, then on the other hand you disregard stats. It's like you are a lawy....oh never mind.
I use stats to illustrate an argument I already know to be true. I have never looked at a statistic and said, oh, look at that! Kevin Martin is actually a better offensive player than Jordan!
Meanwhile, while I of course think people really should just take my word on things at this point, oddly many are stubborn about it, so I use stats as props.

I can tell you that Boogie is an excellent rebounder with great strength and some of the best hands I have ever seen, I can also tell you that he fell off last year as an offensive rebounder because he largely quit doing his off balance flip/tip/tip routine, which raised his FG% but cut his offensive rebounds in the process. But if you don't know me well enough to accept all that on my word, then its time to break out his rebounding and FG% numbers from 2 years ago vs. last year, along with shot attempts and percentages at the rim both years, and offensive and total rebounding numbers per 36 to eliminate any fuzziness. All of the statistical workup though isn't driving my argument. I know everything that it is going to say before I lay it out there. Its for illustration purposes.
Now I will in fact use stats as a way to introduce myself to a player in college, Europe etc. that I did not formerly know. Its only a start, but you can figure out something about playing styles just from a basic statline and then go on to watch and figure out details. So some of it may simply be a question of knowledge. If you watch a player play, in Tony Parker's case literally hundreds of times at this point, and then you have somebody come along and drop a stat in front of you telling you something that you have never seen...if you accept that you either have no confidence (perhaps with good reason) or really haven't been watching those games. On the other hand if you are a casual fan, or a fan without consistent TV access, or whatever, and somebody drops a stat in front of you, you have to consider it.
Did you know Carlos Boozer is 13th on the active list for DRTG by the way? The argument I would never make is that therefore he must be a good defender. In fact he's spent good chunks of his career playing for Jerry Sloan (although they weren't actually a great defensive team then) and Tom Thibodeau, and that stat let's those things bleed over. Meanwhile Drew Gooden is #31, Chris Kaman is #33, while Battier is only #34. That stat will credit great defensive players if they create a great defensive team through their talents. Unfortunately it will also suck up their less talented teammates.