My KK came with a Vittoria trainer tire. I get about the same amount of slipping between it and a GP4000s. Both are better than the scrub Krylions that I've tried using.
While I can make it slip if I want it to, I don't actually think it affects my work outs too much because I don't tend to do a lot of sharp jumps indoors. But it is annoying and I don't remember it being a problem with my old Cycleops Fluid.