MIDI comping?

Hi all, I use an e-drum to record a midi drum track in Luna. The problem is that I'm a very bad drummer, so I need a number of attempts to play good enough for quantizing afterwards and to get a nice drumtrack. So I record several versions in one midi track, and then I'd like to comp the best parts into one consolidated version just like I'd do with audio files. But when I select a good part of a version, use ctrl C to copy and then Ctrl P to paste into my consolidated version then it doesn't sound the same. Especially when I play 16s on Hihat they aren't correctly copied into my merged version... Has anyone else experienced this kind of issue? Any ideas how to solve it?
 
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