Are we going around in circles? One of the earlier points was that in general we can’t guarantee instant availability of a judge/moderator. Adding more moderators may alleviate that, but moderators are volunteers so achieving a “one is guaranteed to be looking at the report list right when you have a dispute” 24/7 would be unlikely.
(I have the impression that some live tournies start automatically on a schedule - is that right? In which case you can’t say “when you start a live tourney you have to stick around to moderate it”)
Personally, I think that having a scoring phase dispute pause the game until a moderator can get to it would still be an overall improvement, and if it becomes a nuisance for tournies a further solution would be found.