It is true that Savage rifles are generally quite accurate. However, I can't tell you with a high degree of certainty whether this is attributable to the action itself, the action and/or the barrel, the pillar bedding, etc. In my opinion, despite the fact that Savage rifles are accurate, their actions feel very cheaply made and held to sloppy tolerances.
As for the Rugers, I wouldn't necessarily disagree that they are strong actions, but I personally would not buy one either.
My recommendation is to get a Remington M700 - either the ADL or BDL. These are very strong actions and widely used in custom rifles and benchrest rifles. Granted, from the factory, these actions could be better, but you could have these actions blueprinted and they would be solid performers.
Zachary