An additional delete cue parameter that will delete both the cue and it's associated show control event(s).
This could take the form of a CIA command modifier/softkey [Delete] [Cue] 10 {with events} and/or a setup defined default.
In my workflow, although I know everyone's is different, I find that in most cases when I delete a cue, I also want it's show control (typically timecode) to also be deleted as well, to avoid unintended side effects when perhaps days/weeks/months later coming back an readding a cue, it does not necessarily need the same show control trigger.