It's weird to me that HS teams still have many duel meets (or tri meets or quad meets). My HS conference had two quad meets a year for cross (and this was 20 years ago). They didn't mean anything for deciding the conference championship (which was entirely decided by the actual championship race).
With invitationals on every weekend, it's surprising that there are still this many duel meets.
Pulling out dual meet scoring from a quad meet just seems silly and a waste of time.