I do hear a bit of difference with the shade down. The image moves ever so slightly to the right, but still left of center.
I ended up moving the speaker TOWARD the window about an inch or so, and into the room about an inch or so, and I now have a centered image and gobs and gobs of depth and layering. Well, I had the depth and layering before, it was just off center. :)
I think eventually I'm going to put some proper wall treatments on the first reflection point of the right speaker and some heavy drapes on the windows and see if I can't put that left speaker back where it was.
In the meantime, I guess I'm ok.
Would it have been better to move both speakers closer to each other to avoid the first reflections? Or was what I did by moving the left speaker further away from center but maintaining distance to the listener (by moving it forward) the best "hack" for now?
I guess whatever works, eh?