I have both .270 & .308. I like the Remington better than the Savage. I couldn't reall care that much about either caliber. I would get the same results with either.
I remember wanting a .270 for an elk hunt in Utah about 18yrs ago. I went down with my .30-06 K-98 Gewehr Mauser and did just as well as I did with a .270 I borrowed from my friend's uncle. I did not bother getting a .270.
I own a a .308 and a .30-06 and I do not believe that there is anything either cartridge cannot do that will be outdone by the .270. I will however admit to feeling the .308 more than the '06, even in the exact same rifle. 100 ATR.
I met a girl here a couple of years ago. French supply tech who hunted a lot here. She had a VERY nice Browning A-bolt .270 and had counted for numerous deer and a couple of elk. The person who had gotten her into this had really done a good job, getting a youth model stock and picking a low recoil round. Well, this one day she was at the range with a friend (original friend had gotten posted) who was not very knowledgeable in the shooting sports and she was having a great deal of trouble sighting in her rifle. I went over and asked her what was going on. She told me that she had gotten a new rifle in .30-06 because she was being posted back home (Quebec) and her brother told her that her .270 would not kill Quebec moose and she needed, at least, the .30-06.
She was frustrated and sore because, while she shot her previous .270 very well, she could not get this one to group at all. 130's in the .270 and 180's in the .06. She had used 4 boxes of ammo in the past 3 days. Her friend was no help at all.
I tried to explain that her old rifle was no slouch and would do just as well in Quebec as her brother's .300WM, but she wasn't having any of that. Her brother knew what he was talking about. He got a moose every year.
Her friend asked me if I could help out.
I watched her shoot and it was immediately apparent what had happened. She had bought a rifle with an adult stock, it was too long, kicked like a mule and now she was flinching HARD!
I convinced her to go back to the shop and buy her old rifle back (if the owner wouldn't just loan it to her sort of like a pawn deal). She brought it back next day and shot the hell out of it! I again tried to convince her that it would be better to keep her .270, but she wasn't having any of that.
So I explained why she could shoot this one better. She thought it was because it was a "girl's gun" that threw "baby bullets" as her brother called it. So we called the gun shop, asked if we could swap out the stocks since hers was a youth model, he agreed and did so the next day. She shouldered the '06 a couple of days later, still a little scared of the anticipated recoil , and dropped the hammer. Flinched, but then looked up in shocked surprise. That didn't hurt at all. By the end of the day, she was shooting the #### out of that rifle. She got a 900lb cow that fall. Sent me pics. But was disappointed because another guy in their hunting party dropped a 1200lb bull like a stone with a ...what??? Oh yeah, a .270 with 150gn bullets that they had all teased him about. Biggest bull, shortest tracking distance, avg shooting distance for the party (around 200yds). She wanted her .270 back... I checked, but it was LONG gone.