I never realized there was a problem with clipboards on mainstream Linux desktops?
Edit: after a couple of minutes of thinking I have found one single thing that isn't consistent: when copying and pasting from/to a terminal I have to use ctrl + shift + c or ctrl + shift + v (understandable since ctrl + c is used to terminate running programs).
Personally I guess cut, copy and paste should have been moved to Super + x/c/v since they are global os-level shortcuts, but it would break the habits of many of us so I guess that should be configurable as well.