I own a C4 - pretty much the same bass, except for the zebrano top. Very nice little workhorse...the only weak point = electronics (the sound is "meh"); I like the generic Cort nasal tone, but I'd like to replace the stock Mighty Mites with Barts...thing is,
AFAIK they don't fit exactly and I don't have any wood working skills so I'm afraid to mess with it.
C4H is a completely different bass though: different neck, body, electronics, feel and tone. I had one of those too but at some point the headstock snapped by itself so I gave it away as an additional gift to sweeten a bass sale.
I'd love a bass with a Z top, but for some reason these are not carried by the local Cort dealers. I really hate Cort's policy of keeping such a low profile and basically shooting themselves in the foot by not promoting their own line in the favour of producing instruments for the big mass selling brands...pfff...they're capable of making such fine basses...