All great QoL suggestions, OP. I would add:

1. Queue for dungeons and such with chocobo out (why are they not just counted as a pet???)
2. Ability to use other mounts with chocobo out
3. Queue with part of 2 for low level roulette.
4. For crying out loud, make GC leves work like regular leves so that I can activate them while in a group and my party member can help complete.
5. Would really like an option to display a visual by the character when a proc activates. Think power auras or something.
6. Let me view the FC window/interact with it while I'm in a dungeon... it's really bothersome. Not being able to whisper while someone's in a dungeon is bad enough.