I have a couple 22-250 AI barrels, a mini mauser chambered in 223 AI, and a Winchester 94 30-30 AI and Im tickled with all of them. Yes case capacity is upped, but me being a cheap skate, I appreciate the extended brass life a lot than the speed.
As far as accuracy, Im still not sold on all the "inherent accuracy" thing. I think that if you dedicate the time, patience, attitude and money to any firearm, be it benchrest or varmint- your going to get good results. Is a factory chamber that is set back and opened up to an AI chamber going to be more accurate? That is answered simply by saying "Who is doing the work". A factory barrel rechambered by a competent smith who sweats the small stuff could very well out perform a big name "custom" barrel chambered by a shadetree smith.
With regards to speed, yep its there, but its not free. Everything is reciprocal. You get more of this, but might have to sacrifice some of that, but thats the way with many things in life.
Are the AI cartridges worth a look? Yup, most definately. Is it going to turn your 223 into a 220 swift, or a 30-30 into a 30-06? Nope. But, then again, I dont think thats why they were concieved.
It sounds like the 7X57 is an excellent candidate-You get a good chamber cut to your specs, brass is readily availble, and If your not happy with the outcome, you've got minimal invested. In my humble uneducated opinion, The 7x57AI should have been standardized instead of the 280 rem AI, but Im by no means an expert.