As long as the idea of "You must avoid attracting the AI's attention, or it will crush you like the bug you are" is maintained, I'm not too picky about the exact mechanism used. AIP is a very easy to understand, plan for, and manipulate / abuse, during gameplay. If it becomes several different numbers, or something more vague like 'stages' or 'colors', again, not a real difference in my mind.
I wonder if a 'local AIP' / 'local AI annoyance level' might be useful? Keep running your fleet through a single system, don't be surprised if the AI eventually puts out the RAID for you.