Completing multiple ego quests simultaneously

Two are my spirit weapons were up to the Fifth calling ego quest. The requirement is "Complete any Elite Shadow Mission". I put one weapon in the primary slot, the other in the secondary slot, and completed an Elite Shadow Mission. This successfully completed the ego quest for both weapons, so it is possible to complete the fifth calling quest for two weapons at once.

After doing that I thought: Some ego quests explicitly say the spirit weapon MUST be used. For example, the first calling quest: "Defeat 50 monsters with NAME." But others, like the fifth calling quest don't. So maybe completing the elite dungeon would have completed the ego quest for both weapons even I didn't have them both equipped, so it would even be possible to complete the fifth calling quest for more than two spirit weapons at once.

Completing ego quests for multiple weapons simulteneously is an efficient strategy, so the section of this wiki page dealing with the ego quests should clarify whether the weapons need to be equipped for quests like the fifth calling. I don't currently have any spirit weapons at a point where I can test this. I'll get around to it eventually, but if anyone beats me to it, feel free to post your findings here and update the page.