I agree. Dome light power to the dome lights should have zero to do with any switch in the car. The dome / courtesy lamps are switched in the ground leg. That power should be "hot" at all times, and tied in with a hot circuit NOT from the light switch.
Traditionally the switch leg is yellow.
You should be able to yank the light switch clear out of the car and still have the courtesy/ dome lamps work "at the doors"
I would pull the door switches out and see if they actually work. Maybe they are corroded
