As was pointed out at the time of his election: The very fact that the Pope is a Jesuit is a sign of the Jesuits’ IRRELEVANCE in the Church today. If they actually wielded any “power” the Cardinals would not want a Jesuit Pope.
I have heard that argument, but I am still skeptical. I’ve read too much history to take such claims at face value. As I said earlier, where they are concerned, I’m wary.