OP here, and something that just struck me while reading the responses that seems extremely obvious in hindsight is that the mixing (and this applies to all instruments) really should be done on a song by song basis, time/budget permitting. What works in one song might not work in another.
Someone mentioned the snap that's present on Awake, and my mind immediately jumped to the beginning of 6:00. I realized that while yeah, that's a great snap (albeit a touch echo-y), it's a great snap *for that song*, which made me realize that I wouldn't necessarily want that snap all the time.
I guess what prompted my post originally is that I guess I don't hear that snap *enough* anymore. I think that MM's drums sound great during the fills in the intro of Pale Blue Dot (and granted, that's more than snare), so it's not like it never "feels right" to me, but rather that maybe they could stand to work within the dynamics of the song, and not just a blanket "MM's drums are to be mixed for depth, not snap."