Yep, I think the evidence really, really points to that one rather than a "standard" 1895 or 1899 musket.
The rifle that won the trials was displayed at the 1897 Sportsmen's Exposition at Madison Square Garden according to a couple different article, and this is a description from one of them. All of the articles state that "the" rifle used to win the trial was there, not "one of the" rifles. Also notice how they mention a difference in caliber between the trial rifle and Savage rifles - that could be simply bad reporting except for the other sources that mention it being the same as the US cartridge.