I usually prefer my action a little high because it feels more satisfying for me to play it like that. I tend to get more aggressive when I play with high action and I like that in my sound. Plus, I play with a lot of big bends and sustaining notes so it's easier for me to get in under the strings and damp them with my fretting hand on those bends. Apparently the tone and sustain are better with a higher action too, though I've never had mine low enough to compare it.
On my main guitar I've got it set at just over 3mm from the top of the twelfth fret to the bottom of the high E, which is about as low as I ever go with it. Stick a Custom8 and an alder body under those bad boys and a roaring Laney 2x12 at the end of a lead and you'll understand why 'aggressive' is a good thing.  
 
EDIT: I've no idea what that would be in common nomenclature. Medium? Medium/high? I've just realised my post is almost completely irrelevant to your question, lol.