Fist of all, there is no difference in accuracy between one brand and another. There are good and bad in both. Secondly, the firearm is only one part of the equation. You the shooter, and your ammo must be as good as the barrel. If I was to throw my personal preference out there, I would say Tikka is better than both of them, but that is based on a small market sample, but the Tikkas I've owned have all been well under 1MOA, and my Tikka Tacticals were sub .5 MOA
This crap about a floating bolt head being a key to better accuracy is pure internet BS. There is not a single Benchrest target action (except for Savage) that is currently being manufactured with a floating bolt head. FBH's require bigger firing pin holes and that is DEFINITELY a bad thing for high-pressure, high-accuracy loads. As one of my fellow precision shooters extols, floating bolt heads are a way to overcome poor machining tolerances.
The Remington action is the basis for almost every precision target action out there. The design is SAFE, it is STRONG, and it is the overwhelming choice for shooters wanting to create precision firearms with factory actions.
Savage makes great rifles for what they are. If you want a precision rifle with little fuss, buy a purpose-built target gun like the Savage palma or F-Class guns. they have a single shot action, a proper length, contour and twist for match bullets, and they work very well. The fact that these are ergonomically and functionally designed for better accuracy puts you further ahead.