My only Savage rifle with a non-Savage factory stock is McMillan factory pillar bedded. Since I trust them implicitly to know what they're doing, I never even looked to see if the tang is floated or not. Savage factory stocks are factory pillar bedded. I'd rather mess with a wasp's nest than mess with that. Except for the McMillan, all my Savages are plain-jane factory rifles, and with reasonably diligent load development and basic handloading, they shoot better than I can.
IMHO, when a Savage won't shoot, it's very likely to be the ammo or something buggered, like a damaged crown, etc.
Greg