You are right. The AEDC only worked for the first ~50 lower triggers of Mahon, long before anyone else even cared about the BGS in general or its connections to PP.
Our main faction is also an alliance corporate spanning across 28 systems, controlling 27. 17 of those systems are within Mahon territory providing reduced triggers across 3 different bubbles.
In contrast, the patronage that we supported long before FD turned some Alliance supporters into corporate slaves with their lazy power ethos implementation, spans across 25 systems, out of which only 8 are within Mahon bubbles and all of them spread out in such a way that they do not cause any increased triggers and thus no damage to Mahon.
Not that there would be anything wrong with them if it was "just alliance space" mind you. Mahon space is not Alliance space. I mean...I assume you know that patronage is among the governments the Alliance factions can be.
So, generally, maybe you should improve your eyesight and information gathering. Also, as much as I would like to gloat that we can decide the fate of Lave alone, the large majority of Alliance groups are there fighting indeed, in a demonstration of rapid cooperation that makes any person enamoured with the lore of the Alliance shed a tear of joy seeing lore materialising into action.