It is in 616, but other books (Amazing Spider-Man for one), seem to be ignoring that they're not currently in New York.
I wonder how Jo and Nikki will react to Princess when they return? Since they're aliens, they might not even know what a dog is. Or at least, would be confused that she can only bark instead of speaking the way humans, Kree, and Skrulls do. As for the cats, we've not seen them since North's run started have we - they're probably with the kids.