I've never had these arguments you're speaking of...

If you want specific types of runs, make a Party Finder group, not a duty finder. You can isolate the same credentials in a PF that you want in your vote options.

"Complete Run of Dungeon X"
"Speed Run of Dungeon X"
"Doing Dungeon X - no cutscenes"

Also, if you are struggling to have these conversations as an FC, perhaps the FC should rethink their existence.