If it did then it would either be based on the interaction position you set or the top left pixel of the static image or active animation if no interaction position wasn't set. If you were to do that, then it would be more beneficial to add an option to manually set the light map position.
Then again... what's the point? most of your scene objects would be static anyway, so you might as well just apply the tint / lighting to them in your image editing software.
Other alternative. Don't use the light map feature. Instead create the lighting & apply it to the scene as an overlay or as multiple overlays to add specific lighting to various object center (z-index) values.