The .270 is a great round (my choice for deer hunting in a Savage 110), and the Browning is a very nice rifle. A buddy has one in 7mm Mag and it is a pretty good shooter. Yeah, as the others pointed out the .270 does have more recoil than a .30-30, but the action does "absorb" some of it.
To compare bullets of the same weight, the .30-30 will push a 150 grain at about 2390fps for 1900 ft/lbs of energy, the .270 with a 150 grain bullet will do around 2850 fps for 2705 ft/lbs. That's only 460 fps faster but it is 800 ft/lbs more energy. Also comparing the .270 to the 30-30 as far as trajectory, the 30-30 will drop much more than the .270. That is the real advantage, you can use a "point-blank" sighting in method that will keep you within +/- 3" out close to 300 yds. With a 30-30 zeroed at 200 yds, you are +3 1/2" at 100yds, and -16" at 300.
Bergie