I think this is exactly what is happening. Remember, most of the heretical thinkers of VII were Jesuits (Rahner, etc.) and then of course there was the raving pantheist, indifferentist, non-Christian, nature-worshipper Teilhard de Chardin, SJ.
My family had a branch of Catholics that were Stained Glass.
That means that they were in. Way in. Sponsered windows at the Catherdral and was generally involved. That branch had the Bishop and the Arch over for drinks on special occaions.
when it came to Jesuits, I never heard them mentioned without the world Damned.
This is certainly all true. Ironically, though, the Jesuits kind of hated Bergoglio for decades. They thought (accurately) that he was an unstable, divisive troublemaker. Their Superior General begged John Paul II to NOT make the guy a bishop.