There is no discernable difference between the .25-06 with a 120-gr and the .270 Win with 130-gr, especially on antelope and deer sized game.
The .270, though has a lot more choices in bullets, including tough bullets as light as 130 grains.
When you move up to the 140-gr BT, the .270 is a different class.
The 150-gr bullets for the .270 will clobber big deer, wild boar, black bear, caribou, and elk - without having to cross your fingers.