You can and should reverse engineer questions like this.
What parts are you most likely to book in the next ten years (either on Broadway or in Hollywood). Look up the actors currently playing those parts and find out where they went to school. Run the numbers and see if certain schools show up more than others.
This book might be a little out of date, but Self Management for Actors, talks about all the ways to do this, and how you should be thinking about these questions in the future.
I would add both. Just finished updating my resume after reading Bonnie Gillespie’s book. For theater, she said you can add the character name then the billing title after.