My read on it is the secret Vatican power players (those you refer to as the Illuminati) were trying to blackmail the pope and Benedict turned the tables on them by resigning. I don't have evidence of this other than my hunch.
That means, possibly, that all bets are off and that the truth may out itself after all.
Although, probably not. The possibility is in play.
But he grew old, this knight so bold / And upon his heart a shadow / Fell as he found / No spot on the ground / That looked like El Dorado.