if a factory cartridge fits......
If a factory 30-06 fits, the magazine as the rifle is now.
Make your project!
The smaller barrel shank is not a problem, with any case that uses the standard head size, IE 8X57, 30-06, 308, etc..........
If the smaller barrel shank was a problem, all the Small ring Mexican 98's would have failed years ago! I don't know of any that have, And I know of at least 3 that have shot out at least one barrel each and 2 of those are at least 3 barrels each. 22-250's are the first choice of barrel for most of these actions, and make as much chamber pressure as the '06, so do the 243's and 308's the second and third choices!