The main physical variations with M98 actions are in those three aspects, ring diameter came in either large or small, where large had a 1.410" diameter, while small ring had 1.300" diameter. Following picture will show the difference;
https://www.milsurps.com/images/impo...60162936-1.jpg
Thread diameter generally followed with this, since there was more material when the design went up to 1.410", the thread was larger, I think, I'm not sure what thread M96 or earlier Mausers used, so chronologically it may be off. There are some exceptions to this as the Danzig and Polish small ring actions had the same diameter thread shank as regular large ring actions. Meanwhile, there's the Turkish Mausers which had a large ring, but used a small thread shank. The following picture should give you an idea of the difference, however, I believe that the actions on display are small ring large thread, and on the right a turkish large ring small thread.
https://www.milsurps.com/images/impo...15/08/LS-1.jpg
Lastly action length. Standard length is most common. There are some M98 actions which were made to intermediate length, which is a few millimetres shorter overall. I'm not entirely sure where the reduction was made, but I believe it was in the magazine area. Bolts are not interchangeable as far as I know. Mexican Mausers, Yugoslavian ones and the 1909 Argentine are most notable as being intermediate length.