Fake profiles can be quite elaborate.

In social networking terms, "fake profile" usually refers to profiles that claim to be some celebrity. Friendster/orkut etc. are full of them.

You are referring to profiles where someone builds an elaborate fake character. I don't think those were ever that common.

Lastly, facebook always reports active users. I have a couple accounts with fake names that I haven't logged in for at least a year. I created them to test out something.