Not heard the K-01 but the spec looks interesting but owned X-01, Puccini and Scarlatti stack. They all are very super detailed and analytical. Pair them carefully in a system.
Emm Labs sounds silmilar but not as much as those mentioned. I now own a Playback Designs MPS-5 which IMO best them all.
I would love to audition a K-01 at some point because I just love their built quality and their transport mech.