I am again out of my element here, but will try to shed some light on these rounds, 7.5 x 55 Swiss cartridges made in the 1920s (and perhaps later) with round-nose bullets, even though in 1911 a Spitzer bullet was adopted. As Teak suggested, Model 1889 series Schmidt Rubin rifles were in service at various levels after 1911, but were not suitable for use with the GP1911 ammunition (GP=Gewehr Patrone=Rifle Cartridge). The original GP90 cartridge was upgraded in 1903, but then again in 1923 (the GP90/23). The GP90/23 reduced the bullet weight from 211 grains to 190 grains, did away with the paper patch, replaced the steel-capped lead bullet with a FMJ lead-cored bullet, but still ROUND NOSE, and increased the velocity from 1980fps to 2050fps. For comparison, ballistics of the GP11 cartridge, with spitzer bullet, are published as a 174 grain bullet with a muzzle velocity of 2560fps. An article by Heinrich F. Grieder in “The American Rifleman,” February 1956, pp 37-38, chronicles the changes in ammunition, and indicates that at the time of the article, the GP90/23 was still available from Swiss Arsenals in limited quantities, and that this was the ammunition that should be used in Model 1889 rifles. Grieder was a reserve officer of the Swiss Army, and at the time, the American representative for two Swiss arms manufacturers in the U.S.
Some information of the same ilk can be found in “Boletin de la A.A.C.A.M.” (Asociasion Argentina Coleccionistas de Armas y Municiones) No. 60, June 1980. Oddly, the GP90/23 is largely ignored in a German language book on Swiss arms and ammunition, and in other Swiss materials this collector has in his library.
I hope this is of some help. The information is from scholarly sources, but it would be nice to get confirmation or additions and corrections from a Swiss source, or an advanced collector of Swiss ammunition.