The time frame makes sense.  Military-style training & competition shooting with the 22 rimfire began in England in 1900 and in the US shortly thereafter.  Stevens-Pope conversion barrels for Krags were marketed from about 1901 to 1904 or later.  In 1904, Gen. Crozier, Chief of Ordnance, issued the order saying all Krags that had been converted with Stevens-Pope barrels to 22 rimfire had to be returned to original military condition.  In 1905, Springfield began working on what would become the GPR, first issued in 1907.

In late 1904, Winchester produced the first of the Winder Muskets, filling the market niche formerly held by Stevens-Pope and the converted Krags.  The 1904-1905 selling price was about $17.