If I'm reading this correctly you are having trouble with your dome light and are thinking it has something to do with the map light??
I think I had the opposite problem as you, I thought my map light wasn't working and found out differently. I was working on the map light with the door open for room and comfort, then by accident after I had given up on it and shut the door the map light came on. I wasn't really happy about this but it make sense because if you have a door open the dome light is on and you really don't need a map light. All that being said they must be connected somehow??
Sounds to me that you have a bad door switch. My map light has a plug type connection so I would say unplug the map light if you think it is causing the problem. Good luck with this... I hate dealing with electrical issues.