Also, do the emotes look like that gray little face the eggs constantly make, but different faces?
Yes, they are like that. I don't remember seeing the grey face in DBOG on the pet eggs, but I attached a screenshot from retail to this post of what I think you're referring to. I'm not really sure what triggers that emote. I think it's from standing around for too long AFK and the pet gets bored?
I'll DM you the video examples of the Puar animations and emotes since it won't seem to let me link any videos from a website here (I suck at forums)