It's hard to believe you get anything other than a mirror image. However, I do see the point about familiar music and the room not being symmetrical. I can imagine that your ear is trained for a specific image and it would seem like a different room if the channels were reversed.
Crossing Left and Right Speakers
Someone in, I believe Audiogon, recommended the Audio Analyst and I checked him out.
He stated that crossing left and right speaker can affect soundstage. How can that be? wouldn't it just reverse the left and right sides of the soundstage?
How could it do anything more?
Curious,
TD