Right now, emotes are saved to your player as a whole, rather than saved to each outfit. Outfits should save all customization features related to the Avatar Editor, including emotes.
To repo this
Equip emotes
Change to a different outfit
Emotes persist regardless of which outfit you have equipped
I believe this is a bug due to the fact that outfits are supposed to save every asset equipped to an outfit, but I see how this could be considered a feature request instead. I’ll leave it to the admins to keep this request as a bug, or move it