The truth of the matter is that there is only one kite designer in the whole industry who possesses the mystical ability to construct kites without pulleys, whereas the others are basically high school dropouts doing some trial and error in their backyards..

As with most things it's about trade-offs, but to answer the author's question:
Ideally pulleys barely move during transitions, so they don't give a spongy feel in the turns.
However they do move in gusts (->better gust absorption), as well as when you sheet the bar out (-> more depower with less bar throw).
@jimovo:
What you point out is especially relevant in jumps. As you load up and steer the kite back, a pulleyless kite will have uneven line tension, so you get more "whip" forward, however you can't get as much second lift by sheeting the bar in as with pulley-kites.
At the end of the day it's all preference, but most average freeriding folks that I see don't even carve hardcore transitions, so why sacrifice the benefits of pulleys (depower, easier access to jumps) for eventually more "direct feel", which is highly subjective anyways..