Erm, as I understand it most NBA organizations have significant statistics/economics departments. I don't think the practice of going by looks or things of that nature is dominant any more except for sports pundits trying to rationalize events after they have happened.
Yes, some NBA clubs have started to spend money on quant/stats but I wouldn't say there is a majority cultural buy-in particularly in regards to scouting. Mostly it is in the form of a stat guy assistance coach who will recommend how to play opponents.
It is gaining popularity. Boston Celtics are one of the pioneers. The Nets even Bought a sports video/stats startup recently. Time will tell if talent evaluation will also change as Lin has been a paradigm-destroyer of the old way of scouting.