Lighting discrepancies when combining static and movable meshes

Have you tried changing the indirect lighting mode to “Volume” instead of “Point” for the door? That should be down under the advanced lighting tab and it should have a name like “ILCQ_Point” with another option called “ILCQ_Volume”.

This should let either side of the door get a unique indirect sample whereas with Point, it will take one average value for the whole object which means both sides see both sides.