I've got a little Model 7 in .308 Winchester and an old M722 short action that belonged to my grandpa and has killed a LOT of game. That one's in .257 Roberts.
What I like about the Remingtons is fit and finish and greater inherent accuracy with more variety of possible loads. IOW, they're less picky about what you feed 'em. The Savage, if it doesn't seem to like the bullet, spreads the group all over the paper. A bullet it likes, it's a tack driver. The Remingtons might not like a certain bullet, but it might be a 2.5 moa group at the worst, not 6 or 8.
That doesn't really matter that much to me, though, because I'm going to be handloading for any hunting rifle I use and I tailor the load for accuracy, of course.
The other thing I like about Remingtons, the fit and finish, is obvious when you pick one up after handling the Savage. The bolts, especially on that M722, slide back like they're on ball bearings. The bolt on that Savage is gritty as all get out. Now, for a hunting rifle, who cares? The first shot is the important one. But, when you sit there and handle, especially the M722, you're amazed at the quality of workmanship. You can open the bolt and slightly tilt the gun to the rear, and the bolt will just glide back from gravity. You gotta get that Savage near vertical to fall. LOL The M7 is newer than the M722 and slightly more stiction in the bolt, but mighty smooth, too.
It's just the little things. The Remingtons, too, are prettier, if that matters. Nothing ugly about the Savage except that danged barrel nut.
But, would I buy another one in a caliber I really wanted? Danged tootin'! Why? Because I know the accuracy they're capable of! And, the fact that my Savage is more load specific is only reflective of ONE gun in ONE caliber. I've found that .308, IMHO, is a more inherently accurate cartridge than most. Stands to reason that M7 would shoot about anything.
I wouldn't buy a Savage for looks or aesthetic reasons, but for pure function for the dollar investment. They offer more for the money IMHO than almost any quality bolt gun built.