A word of caution, contours of lands and throating can be different.

Weatherby achieving a big jump with accuracy may not work with other setups.

As to Shillen, straight is not a factor per follows. No after market barrel maker I know of will let a bent barrel out the door (other than accidentally)
Savage may still practice the art of barrel straightening.
Shillen:

Select Match Grade
These stainless steel masterpieces of machining and lapping are intended for the competition shooter-- or even the hunter-- who wants the ultimate in accuracy and quality. These are our highest grade barrel and, of course, the most costly. What makes them so good that benchrest shooters, such as Tony Boyer, crave them? Consider this: To meet Select Match Grade criteria, the groove diameter must air gauge within .0003" of our standard diameter. Moreover, the uniformity of the bore cannot vary more than .0001" for the entire length of the barrel. These barrels are also completely stress relieved, and the bore is polished to a gleaming surface finish by our most experienced lappers.

Match Grade
All Shilen Barrels are made with the same care and precision but our Match Grade barrels don't quite meet Select Match criteria-- but not by much! In these barrels, the bore must measure within .0005" of our standard diameter and the groove cannot vary in diameter more than .0003" for the length of the barrel. So how much accuracy does a couple of "tenths" give away, compared to our Select Match barrels? Perhaps not any! The point is, whether or not there is any real difference in the accuracy potential between the Match and Select Match grades, the really demanding shooter must play it safe and go with the higher grade. In many cartridges and barrel twists, the accuracy difference between the two simply can't be detected. So unless you're gunning for one-hole groups or just demand the top of the line, the Match Grade barrel is your best choice for many forms of competitive shooting, or for hunting varmints and big game. The Match Grade like all Shilen Barrels are completely stress relieved and fully warranted.

Both are available in all calibers, twists and contours.