I’ve searched this and found several suggestions of a regex to do this. None of them seem to work for the notes list.
I did find one that works in the main Paratext search. This will show me all the verses that do not include David (tested on Matthew 1).
regex:^((?!David).)*$
This does not include any notes when I entered four notes in my test project, one with “David” mentioned and three that do not. I’ve reported this to the developers.