You know what you're talking about, well done. This was indeed intended to subtly imply how the Societists metamorphosed from Flags Are Evil -> Plain Black Flag -> GREAT BIG HONKIN' CENTRAL SYMBOL.
Ah. I was thinking of it as a "take that" of sorts at the Hermanidad. Rather than having the central power be the hub for the client state spokes, all the nations — or their falsely divided unitary people, I suppose — are interconnected, each drawing strength from one another, and those connections cut across the symbolic "border lines" of the hub-and-spokes model.