Answers: Yes, he freely roams the apartment. He typically will go to his hammock area or behind the TV... all of which is dark. He has several options of his choice.
The 3AM has been his nature or normality since we got him we don't restrict his time frame. When he is ready for bed he will just move away from the heat lamp ( typically we turn off around 8 or 9pm and turn on the IFR so it's warm and dark )
I'll definitely try these tactics when I get home... we were lead to believe we just leave him be. Well... we got several mixed responses and don't want our little buddy staying this way.