There is something to the anti-notation position, if you're talking about sounds and techniques that standard notation hasn't figured out how to represent. Instruments that play harmonics are an example; for something like the Moldavian kaval (large 5-hole flute played in the higher registers) simply notating the pitch of a note doesn't tell you how to get it, there are alternate fingering/breath-pressure combinations that will make the same sound (your fingers will tell you which one makes for the easiest way to play the tune). I doubt if anyone has ever learned how to play the Jew's harp or didgeridoo from sheet music.

And in some cases, like the Indian tabla or Bulgarian tapan, notation is theoretically possible, but given the speed of the music and the rarity of the occasions when you'd want to reproduce a pre-composed pattern, there isn't much point to it.