more generally though
In my experience, which is pretty limited, I find that without a big chunk of otherwise pooey sounding mid, you don't get the snap or the crack of the snare, its not the high brilliance that does it. Like take a SDC, put it far away from the snare, even like six or eight feed away, but point it at the top of the drum. You'll get tons of brightness in the recorded track (Assuming the drum and player were putting it there) but there's no crack or snap. Maybe an awesome drummer with sharp clean hits would deliver it more, I don't know. I find it hard to get snap or crack without mixing in a close dynamic. The close dynamic can be on the shell, off axis on the top, even on the bottom, but alone, it will sound like ass: sort of like someone wailing on an empty cereal box with a drumstick. But mixed in with the other brighter mic, you get snap/crack.that's where the "snap" or "crack" of a snare is found.
Anyway, YMMV, just that chasing high end has not increased my personal snare crackiness.