Once installed, except for a slight weight advantage for CL (that you'll never feel), there's no difference. They both work fine.
It's kind of like the passionate Shimano "wired" Di2 vs. SRAM "wireless" eTap debates. Once installed, wired and wireless don't make any difference. (Well, except for 4 batteries vs. 1 battery. And "handcuff" SRAM front shifting vs. Shimano one-handed shifting. But you get my point.) Nobody can tell, in operation, if your shifters have wires connecting them or not, unless a battery goes out.
The same is true of 6-bolt vs. CL. Well . . . except that you can't even tell when a battery goes out.