The .270 WSM is not the same caliber as the .270... The .270 WSM (Winchester Short Magnum) packs considerably more punch than the .270.
I've shot a .270 most of my life (since 1966). I bought a Tikka .270 WSM 3 or 4 years ago. It's extremely accurate and obviously very flat shooting. It's probably a little more gun that what is needed for deer and antelope, but we hunt elk also from time to time and the added energy makes it a better elk cartridge than the .270. My son has latched on to the .270 WSM and uses it most of the time. If I buy another deer rifle I'll probably just stay with the .270. It's served me very well over the years, it doesn't kick as much, and the ammos is not nearly as expensive.