I believe it is the opposite, where the '03 came first and the request was made of Winchester to duplicate the '03 dimensions on the 1895's, or so goes the story.

I think by the time the Kermit rifle was made, there were plenty of slimmer sporter style rifle stocks to emulate. Maybe, the background of Roosevelt, the nature of the factory and their smiths that made the original, and the stated intention of the rifle had something to do with the design of the stock and fitting the furniture. I would assume the museum would be preservation conscious, the original looks to have wear and scars of a good bit of field time.

The features that make it unlike a Kimber style American sporter, make it interesting to me. The original stock seems to me to be unable to derived from modifying a military stock. I think the stocker really knew what they were doing, rather than doing the work for just utility, pulled it off nicely to me.