If the AI cartridge has less taper than the original 22-250rem, then I would think that it will work better than the original cartridges.
I had a Remington 700 in 22-250rem in a AICS AX chassis. If I loaded more than 7 cartridges in a 10 round AICS magazine, it would not feed properly.
You will probably have better function with the AI version of 22-250. At least that is what I think.