If MK and DC are parallel worlds, what do you think of DC’s Kid? He also seems to be looking for something since he puts the gems under the moon light after stealing them.

The way I see it, there are two possibilities. Either DC Kid is still looking for Pandora (a gem that shines under moonlight and is said to grant immortality, even if the legend isn't true). Or he's looking for something more tangible within the gems that hasn't and won't ever be explained. The first borders on tragic, with a strong possibility of the legend just being a legend and not really existing, the other is just kind of a boring answer that would work to explain his actions.

Or the third and more likely possibility that there is no 'DC Kid and MK Kid' and they're both the same Kid because Gosho really isn't that nuanced of a writer that he'd consciously make a full 'same but different' Kaito just for DC, and he is instead just straight up writing the same character doing his shtick but from a detective perspective instead of the thief's.

Regardless of how little I'm active, the idea that people push about 'parallel' meaning entirely different worlds that happen to have the same characters will annoy me. I know you said 'if' and all, but my brain just goes 'just know that it will never be the only interpretation'. Might be the thing I'll be stubborn about forever, unless Gosho actually decides to elaborate more on how he views the two series outside of offhand comments that could be taken either way. Especially when the only reason people go 'well of course it means completely different/separate universes with the same characters' is because they don't want even a hint of possibility of magic from Magic Kaito.