My Q2 (mostly the kids) doesn't appear to sleep when turned off. If I leave it unplugged for a couple days, I'll get a message on my phone that the battery is getting low. That is crazy to me. It should be able to be "off" indefinitely unless it is a Facebook APT.
That is a well known issue, same with it not remembering the play area so you have to recalibrate every single time. The Quest software is just an absolute buggy mess