I always have both turned on (or the Z8 or SX) with the Z on or next to my desk, and the CL on the coffee table, usually. For quick snaps or med recycler blasts, I go for the ZX, it's so quick and clean. For the CL, sometimes it's a break in the day where I'll fill the MP and sit back and roast through that for 5-10 mins and then back to it. Other times it's fill the MP and just have a hit randomly over the afternoon, during a movie, etc.
If we're watching a movie or something I load up bowl on a waterpiece and then just roast through it doing occasional hits as we sit there. Or it's really nice on the porch, too, for little sessions or occasional hits. You can also also turn up some and kill a decent hit-sized load in one go, I just like it more in a session setting. I think a less aggressive approach keeps flavors better longer.
I think in a nutshell, the Zs are excellent for the flavors and the quick, powerful hit where the CL is excellent for enjoying the flavors, the process, the building high, or for setting down and picking back up again. There's overlap--more probably than my use cases suggest--but with both you've got a spectrum of uses covered handily by two of the nicest vapes available.