It is admittedly difficult to test this definitively: one would have to wait days on end for the perfect situation. I think that the masterful Focal Encyclopedia of Photography parses this issue though and agrees with what I have inferred.
Like others here, I originally thought that an 'elegant' answer such as 'it is still lit by the same light' would trump all because of the logic that it seems to rest upon, but there really might be a difference. We'll wait for more replies to this simple but confusing quandary.
I will not be at another computer until Monday. - David Lyga