I created a thread in the Suggestions forum asking why, if I can stow my weapons and armor and fight in my gymshorts, that I cannot stow my pet as well. The thread is titled “Devs: PLEASE answer the never-ending question.” Link:
https://forum-en.gw2archive.eu/forum/game/suggestions/Devs-PLEASE-answer-the-never-ending-question/first#post987369
Maybe if we keep a single thread at the top / current rather than posting a million threads that all vanish, we might get a reply or make it clear how much some of us would like to see this happen.