Owned many Remingtons over the years, and owned half a dozen Savages, the Savages are certainly more accurate then any of my Remingtons. They are not a perfect rifle though, they are bullet picky, they come from the factory with a very rough bore, the action is clunky, the basic synthetic stock is flimsy, and Savage uses short 22" barrels on some rather overbore cartridges like the 25-06. They are far from perfect but they are a solid value.
Now the good stuff, Savages are the most customizable bolt gun in existence, strong aftermarket and you don't need a gunsmith to do anything, the Accutrigger is one of the better triggers on the market in both hunting and match form (yes they are different), while all my Savages have been bullet picky they all have liked my Game Kings which is my go to bullet anyway. Some Savages come with a REALLY good recoil pad, as good as I have ever used on any rifle, tames my 06 with max load 180gr to the point my sister in law enjoys shooting it.
My current two Savages are a 110 in 30-06 and a Model 11 in 270 WSM both are superb.