Yes, but a slug gun/shotgun is not a rifle. Your Savage bolt action shotgun is just that.....a shotgun built like a rifle. You are essentially shooting a 12 gauge rifle. Typically, a bolt action rifle has a barrel that's either threaded or one piece with the receiver or is manufactured to eliminate any movement between the two. Many of the shotguns manufactured today are made to receive different barrels.
Bedding of a rifle barrel has nothing to do with the elimination of movement within the system....and everything to do with pressure points and barrel harmonics. The purpose of bedding a rifle is to make sure that the "wiggle" of barrel harmonics is repeated the same way every time the rifle is fired. Bedding and pinning are not even close to the same thing. I'd prefer to free float a barrel and let the harmonics do what they will anyway.
A butt stock, forend, and all other components should be tight and non-moving. It's easy enough to make that happen. Repetition is on the shooter in their form. The one variable in shotgun slugging that you have very little control over is where the barrel and receiver come together. That's the one spot where any play is going to rob you of accuracy for one reason and one reason only. Shotguns are made, these days, to have interchangeable barrels. Your Savage is not.
As far as my gun is concerned, if clover leafing 3 shot groups at 150 yards is what you describe as "getting good or good enough" performance, then I hope your Savage is putting every shot in the same hole.