Sorry! A hopeless choice. The CCI-400 (basic Russian Murom/PMC KVB-223, and Rem 6 1/2 too) are designed for low pressure cartridges and their origins are the 1930s' .22 Hornet. These primers have 20 thou' thick brass cups. CCI-450 / BR-4; Rem 7 1/2BR, other Russian small primers have 25-thou thickness cups and are much more robust. This also appears to apply to the Magtech 7 1/2, Fiocchi, and S&B models. Winchester WSRs are on the weak side with 21 thou' cups, and both Federal SRPs are in between at 22.5, but are successfully used by many competitors in high pressure applications.
So, you should try the 'Palma' brass in the AI with a stronger model, and you might be OK. However, as
@plumber01 says, older AIs (deliberately) had slacker firing pin to bolt fits, and depending on your rifle model/age, it may still be unsuitable for SRP use. This became an issue some years ago when many AI owners rebarreled to the SRP-only and high-pressure 6.5X47 Lapua and blanked primers with modest loads. AI introduced a revised bolt with a smaller diameter pin and tighter fit to meet this issue.
(PS unlike most rifles, AIs should never have their bolts 'bushed' as is done with most rifle makes in this situation. It seems the steel is so hard that trying to machine it doesn't work out well, and AI will void the warranty and basically disown the rifle in this situation.)
Report on small primer strength and comparative results in 308 Win
Small Rifle Primer Performance in the 308 Palma case Pt.2 by Laurie Holland
Small Rifle Primer Performance Pt 3 by Laurie Holland