You can hear some strange things. And you are about a war off.
In 1888 Germany went smokeless powder with the 8x57J shooting a roundnose .318" bullet down a corresponding barrel, maybe .320" because the Europeans like to have someplace for the metal displaced by the rifling to go. In 1905 they watched what the French were doing with spitzer bullets at long range and went to a pointed bullet .323" in diameter, calling the new version 8x57JS. Naturally, they had to build guns with barrels large enough to take it. I don't know why they felt they needed to enlarge the bullet by .005" while making it lighter and pointier, but they did.
So there they sat with many old rifles made for the .318" bullets that they needed to get some use out of. Rather than go to the expense of rebarreling the old '88s they just ran in a reamer which enlarged the chamber neck so the brass could expand to release the larger bullet and tapered the throat to feed it gradually into the tight bore. Stamped an "S" on the action to indicate the change. Some of them also got a magazine modification so they could be loaded with the '98's stripper clips instead of the original en-bloc clips.
The more modern 1898-1904 rifles with '98 actions were also converted and the sights changed to match the trajectory of the new ammo.