The decision between AI or CM case for me wasn't/isn't the challenge.
One you fire form the other you don't, one you hardly even trim, the other you do. Not much real difference after that ballistically unless you consider you can't get virgin Lapua without some magic right now.
TLDR: then what will be the twist to make the juice worth the squeeze?
The whole idea of the 22-250AI or 22 CM is more energy to send high BC bullets (longer, heavier) at higher MV, otherwise there are smaller more efficient cases to play with like the BR variants or the GT for example.
It becomes a twist rate dilemma in short order, so I would encourage the trade between AI or CM to get it out of the way because the real challenge is..., to make either one of these worth it you will either shoot the heavies with fast twist or slow the twist down for the lighter bullets.
In my own mind, I am torn because I want one twist that will do it all but there is no such thing on paper.
I won't highlight the debate on how fast you can throw any particular bullet with one of these two choices, you can all do that for yourselves or you can just look at typical data in the load manuals for 22-250AI or 22 CM.
I will just scratch out a little figure of merit math to share just to illustrate the real trade off problem with both of these cases.
A call to Hornady gave me a rough figure of 320000 RPM for their 88 ELD for example. So if I back into 320000 RPM as a high limit, that would be a MV limit in 7 twist of 3111 fps. For an 8 twist that same limit would be 3556 fps. I should mention there is a real issue of the stability factor (SG) to think about too.
A 90 grain at 7.7 twist drops the SG to near 1.0, and since I can't write well here is a table to make it easier.
When speeds go above 3100 fps, you start hitting hard choices in terms of twist rate-bullet selection.
Making brass in production there are real problems with steeper shoulder angles, otherwise you would see more of the AI designs in factory brass.
The ballistic differences between 22-250 AI and the 22 CM are insignificant, but the shoulder angles are the whole trade. To get the AI angle you fire form, it is that simple.
Now, the next real choice becomes one of sketchy RPM limit estimates for bullets and twist rates because both 22-250 AI and 22 CM can and do blow up bullets with regularity.
Going at the speeds to make either one worth the troubles is where you set the future of the gun in cement. The trade between AI and CM is easy, the selection of twist rate is agony if the desired weight range of the bullet is wide. If you limit the weight range of the bullets, this trade space is all easy.
Good Luck with your project. In for the report of which case you select and what twist and freebore you like.