I can't tell that the Cody' musket has a sling loop from the photos I have (not high enough res). Since Fug's musket and the Cody musket are less than 10 serial difference I would think they would have been made the same. I would like to see a good photo showing the loop.
I did find a good photo of Doug's 1899 musket and you are correct. It has a loop.