I agree with that to a certain extent (like I said, for Tom Petty style music, as an example)... "Natural sounding music"... But sometimes, with crazy fast prog rock drummers and stuff, that bleed can get muddy REAL quick, and you won't be able to hear the tom hits, if you have 8 tom mics, 2 snare mics, hi-hat, ride, 3 kick mics, 7 room mics, etc... (just randomly throwing numbers out at this point)...
But to a certain extent, (for THAT kind of music), that's sort of what the room mics & overheads are for... You'll still hear that "bleed" through the room mics and stuff... But if you're individually miking every piece of the kit (sometimes including 2 mics on each tom, top & bottom, etc...) Then bleed can quickly become that friend at the party that you'd rather not have to deal with, because they drink too heavily or something...
But yeah, other times, it's nice to just have a kick mic, snare mic, and a room-mic, and go all natural or whatever... It REALLY depends on the style of music you're mixing.