In a recent game, I used King's Court to play a Band of Misfits three times. I chose Gladiator, so it did the Gladiator ability three times. So far, so good. Then I bought a Fortune, and did not gain a Gold despite having a Band of Misfits acting as Gladiator in play.
Band of Misfits and Overlord need to count as the mimicked card in all respects until they leave play, even the card name.
Band of Misfits and Overlord need to count as the mimicked card in all respects until they leave play, even the card name.