Moveable Objects and Skylight

Is there a proper way to have indoor and outdoor lighting so moveable objects are lit correctly?
Currently, any moveable object inside an interior is picks up skylight. Even when the Indirect lighting cache looks correct.

The issue is worse when moveable objects are inside a blueprint. In the image provided, a static mesh that is moveable doesn’t light the same and a static mesh inside a blueprint.

Scene Stat:
Forward Rendering
Stationary Spot light