If moving lights is a must, I guess there must be a reason... ok, but, can you switch the moving light on/off and have a global lighting available at the same time? If that was the case, I you could take each photo in the two ligting conditions. Process the steady lit photos as usual and at the final stage just before texture and ortho creation, change the path for all photos to the folder containing the changing lights photos. This trick requires renaming files accordingly, but it probably will give you a sort of what you wanted (in fact you will get ugly transitions across mosaic regions, but this is an unavoidable direct consecuence of your desire/need)
Best
GEOBIT