Here are three additional pictures. The buttplate looks odd because it is not symmetrical. Notice on the right side how their is one more bump at the top and bottom of the outside margin than on the left side. Also, the bottom three dots are not centered. It is also a dark black blue.
I also added a picture of the handguard. It's marked RSG. Is this a Type 1 with the deep groove?
I added a picture of the inside of the stock. It looks pretty clean so I'm not sure if it's an old stock that been refurbished and sanded. Did the German's make replacement stocks? Is it walnut? The bottom of the stock is marked with 14056 which matches the numbers stamped into the left hand side of the receiver. I just checked the stock profile, and it looks like a pot belly without the cutout for the selector switch.
I've read on other sites that some of the "Bavarian" carbines went to the police departments. So is it possible that this was a rifle that went to the Germans, refurbed/ restocked at some point by the Germans, returned to the Army, and then sent to Detroit?