Proper AI rechamberimg does include setting the barrel back a skosh so that when shooting parent cartridge case trough it the neck-shoulder junction has a very slight interference fit in order to keep the cartridge from riding forward and risking case head separation.
Are you thinking you'd like to be able to have one load to use between both rifles? If factory, there's a pretty good chance you could do that. Reloading though is a potentially different deal. Some dies may not size enough to prevent brass fired in whichever chamber is larger from being a bit sticky in the tighter chamber. A good gunsmith might be able to take some careful measurement of your existing AI chamber and of his reamer to try to mitigate this (as well as match chamber length as close as possible). Matching chambers is not something I have any experience with though, I'm definitely in speculation territory here.