I own both. One is my work keyboard, one is at home. Both have aftermarket caps, with DSA Dolch on the CODE, and Vortex PBT sideprints on the WASD.
Both feel pretty solid, and I have no major preference for Costar or Cherry stabilizer. I have tried clipped Cherry stabs, regular Cherry stabs, and Costar stabs. From a feel standpoint, this will be the biggest differentiator.
The KUL has more options for the case colors, and the CODE has backlighting.
Typing experience on both is pretty solid, and ultimately, you'll be happy with either.