ADL Medalist? B&C doesn't produce a full out Medalist version of the ADL. B&C does produce a Medalist ADL that has the Modified Pillar system.
The Savage sporter (LA 2980) is a larger exterior stock and the layup is a bit more. Typiclly 2.25lbs. Obviously yours is beyond that or with the addition of bedding or LOP change, scale difference, etc???
The 1042 is a drop in designed stock. Remove the barreled action, triggerguard and magazine, swap stocks and tighten down. All transfers right over with the exception of the recoil lug.