Having separate queues or something for gatherers and fighters is what they are thinking of doing with brand new Exploratory Missions. However my suggestion is for a brand new way to cap tomestones, so you don't even need to spend the whole 30 minutes+ in The Diadem and deal with those that are irritating you. And most of the time there are gathering objectives in the Diadem list so even gatherers will help with quickly finishing off the list.

Say you team up with half gatherers, half fighters, it still isn't that hard to clear out all objectives that you need. Even if you're the only fighter, the gatherers can go and help clear the gathering side objectives. Once the objectives are done, if the people in your party are annoying you, you can just leave. You came for the tomestones because you were getting tired of other ways to cap, so after you do that, anything else is a bonus really.

Even with the addition of Deep Dungeon, some might still feel tired of capping since Deep Dungeon is just like dungeons.