No, they all have separate cages. Unless they're a bonded pair, parrotlets will kill each other. They're very territorial. I had actually rescued a bonded pair, Bonnie & Clyde, who now live with my mom. They are not at all tame, and my mom wasn't interested in a bird she could hold, but she liked having mine in the house when she birdsat for me, so now she just gets to talk to them, etc. They don't have a nestbox, so they're not breeding.
I have the two I rescued, and then Icarus, Hemingway, and Ranjan are brothers. I am actually Ranjan's third home, I think? He kept being returned to their breeder, Jerry, so I said I'd take him. I'm a nut.
I think most animals are smarter than people give them credit for. Beardies, certainly, but even fish, for instance. I had a loach who recognized me and would eat out of my hand and no one else's. I suppose you could argue that behavior like that isn't real intelligence, but I've read a lot about studies being done with octopi (puses?) that have blown my mind. As smart as dogs, at least, apparently.
Anyway ... I always expect Grendel to talk to me, because I'm so used to the birds. :lol: