And to respond to your question about Pettigrew in the great-grandparent, I would assume that the map skips over animals entirely, which would probably include animagi.
A large part of the plot of Prisoner of Azkaban hinges on the fact that Lupin noticed Pettigrew on the Map while he was in rat form.
A large part of the plot of Prisoner of Azkaban hinges on the fact that Lupin noticed Pettigrew on the Map while he was in rat form.