I've had a Savage 10FP in .223 and a Rem 700 PSS in .223. Both were great guns.
The Savage has a injected molded stock that was free floated when cold, but touched the barrel when hot and affected the zero more and more as it heated up. I didn't like the feel/fit of the stock either. Especially the thinness of the wrist and forearm.
The Remington has a HS Precision kevlar stock, which at feels great with its length and forearm. At first the wrist isn't as comfortable, as it is much thicker. But, it soon it begins to feel natural. The 700 PSS keeps it's free float when hot and so keeps it's zero better than the Savage. It required a bit more concentration at first, but after a few rounds it becomes routine!
My Savage, DID NOT have the Accutrigger, but I have shot other Savage 10FP's with it and feel it is about the same at the Remmy. However I would take the Remmy's trigger over the Savage, even with the "Accutrigger".
As has been said, twist makes a big difference. Both the Remmy and Savage were 1:9 twist and I could hold a >1" group shooting military ball M855 (SS109) ammo with both. With Fed Gold Medal 69 grain, gun show "custom loaded" Hornady 68 grain and Blackhills Blue Box (reloads), I could keep an honest 1/2" to 3/4" group with either. But, In 10 years, the best group has been a >.50" with Fed GMM 69 gr. at 100 yards, shooting the Remmy. That's when I was on top of my game and had shot the Remmy more than the Savage.
I've since sold the Savage and haven't regretted it. I feel that out of the box, the Remmy PSS versus the Savage FP10 with the HS Precision stock to be a toss up. That saying, I mean bone stock. The Remmy can be "tweeked" by moving the barrel back, reboring the chamber and have the trigger adjusted, but it doesn't seem that the Savage will retain the money/effort that the Remmy would.
Please note, that my Remmy is still box stock. No changes have been made, even to the trigger!
Overall, I would stick with the Remmy, as it keeps it's zero much more constant between cold and hot. Cost wise, the Savage is cheaper, but if you get the HS Precision stock option, the Remmy is about the same. It boils down to ones budget and expectations. If you can only afford a Savage and want to shoot .223/5.56 out to 5 or 600 yards, buy a Savage. If you can afford a Remmy, buy a Remmy and upgrade it over time with a 1:7 twist, match chambered barrel, a Luepold scope and a trigger/action job and shoot out to 1000 meters.