I have two of the three models that you have listed.
The Remington SPS Varmint (mine is in .22-250 with a 26 inch varmint barrel) was bought on sale for $436. In factory form with a 'Tupperware' stock and a gritty 6+ pound trigger, it still shot around 0.6 to 0.7 MOA at 100 yards. Not bad for the price but I could see the potential so I replaced the trigger with a Timney and set it at 2 lbs. That improved its accuracy by 0.15 or so. Then I replaced the stock with a Bell and Carlson Medalist pillar bedded stock and improved accuracy even more. Its best 25 hand loadings now average 0.350 for 131 groups. All of the hand loadings (good and bad) average 0.526 for 921 measured groups. Total expenditure in 'tuned' form = $ 775. The modifications were worth the money and it has become a great varmint rifle.
I have two Savage model 10s - an old 10 FP with a hidden magazine, 24 inch barrel, and no accustock and a new 10 FCP-K with 26 inch barrel, muzzle brake, a detachable magazine and accustock - both in .308 caliber. The model 10 FP/FCP series are in the law enforcement series. They are heavy, durable rifles but the FCP-K with its longer barrel is the heaviest. Both came out of the box with a 2 lb 11 oz trigger and shot really well.
The accustock on the 10 FCP-K makes it a bit more stable on a bipod, but both shoot accurately.
The old FP averaged 0.623 for 1629 measured groups and 0.438 for its best 25 hand loads. Some of the overall average is biased by my using it to learn to hand load and experimenting with different powders, bullets and seating depths. That often leads to some inaccurate loadings. The barrel is about shot out now and is going back to Savage for a new barrel. Original expenditure $ 709. At that price, it was a bargain and has served me well for a number of years.
The new FCP-K is averaging 0.591 for only 97 measured groups.
Expenditure this year was $850.
There aren't enough representative different loads shot yet with the new rifle to get a good 25 load recipe sample but its top 10 hand loads are averaging 0.425.
I attribute the difference in accuracy between the two Savages primarily to the accustock.
Considering the drop off in accuracy that comes with the moving up in caliber from the .22-250 and the .308, I would say that both heavier recoiling .308 Savages clearly shot better than the 022-250 Remington out of the box and now shoot about the same or slightly less accurately than the Remington now that the Remington has been 'tuned'. The Savages are still in pure factory form, untouched other than cleaning.
Every Savage that I have ever been in contact with has shot accurately out of the box and none of the 9 that I am familiar with (my son and I have 4 between us and 3 range buddies have 5) have ever been modified. One of the .308s that my buddy bought had the scope mounting holes drilled off center (it still grouped well but forced severe scope adjustments that made it impossible for him to shoot long range). Savage replaced it with a 'QA built' equivalent model that is a true 'tack driver'. He feels that it was worth his inconvenience of having to ship it back to the factory.
I have never tried a SAKO 85 but it has a great reputation. I would suspect that it is probably more expensive than a Remington SPS or a Savage 10.
If it is in hunting rifle form, it will be a better hunting rifle than the heavier bull/varmint barrel models. However, a thin barrel will heat up faster than a heavy barrel on the range and you will wait a lot when testing loads. If it is a bull barrel version, it will probably be about the same. The fit and finish should be better but only shooting the rifle will let you decide on accuracy.
I have one SAKO (a SAKO Quad with 4 interchangeable barrels) that isn't in the same class so my opinion of the rifle doesn't matter in this discussion.
However, I can attest that it shoots 1 MOA with all 4 interchangeable barrels in .22LR, .22 WMR, .17 M2 and .17 HMR just like they claimed it would.