The correct name for the cartridge, as listed by the Sporting Arms and Ammunition Manufacturers' Institute (SAAMI), is 270 WSM, without a decimal point.
When it was introduced, the 300 WSM sported a new case that showed a lot of promise for uses in other calibers.
[1] The 270 WSM is an improvement over the older 270 Winchester providing higher velocity with bullets of the same weight, and thus a flatter trajectory and more energy.
The .325 WSM is in a league of its own in North America as the 8 mm caliber has not become commonplace.
[4] The .270 WSM comes quite close in performance to the legendary .270 Weatherby Magnum, with notable differences being that the .270 WSM is chambered in a short action and normally utilizes a 24" barrel whereas the older Weatherby cartridge utilizes a long action and is most commonly paired with a 26" barrel.