Rechambering to the AI is a ticklish operation mostly because of setting the barrel back and the shorter headspace dimension for the Ackley.Also you must consider getting the barrel markings turned correctly after setting the barrel back a turn.
Doing an H&H mag.is not so simple without setting the barrel back,lets say you have a long headspace dimension on the factory chamber.Doing it correctly would require setting the barrel back, also would have to contend with a correctly positioned extractor cut if doing an M70 CRF.
It all can be done,just hope the guy doing the job isn't hungover.I like the Ackleys because they look so good.