Ctrl+V does work when using my fingers on the keyboard, but not when CHS is attempting to paste.
I can also paste with Shift+Insert, and I’d like to be able to setup CHS to use those keys, as I’m sure they aren’t touched by PKL (my AutoHotkey based keyboard layout manager).
I don’t think there’s such a thing as a system wide paste shortcut, it’s just a convention that most applications follow.