Savage has a good deal for swapping barrels and bolts to change calibers and chamberings. You can buy 308 Win inserts for a 30-06 and several other chamberings can use inserts in a similar manner.
So, why can't a barrel be designed with a "universal" chamber for that particular bore? For example, a 30 caliber bore should be able to shoot everything from a 30 Carbine to a 300 Win Mag if the chamber was properly machined for an insert of the proper size.
Is there some reason a universal insert couldn't be machined to proper tolerances to allow a precision fit into a universal chamber?