Since everything about Freemasonry is secret to non-members, how would those Popes know?
If the priest saw a conflict with his vows to the Church, would he not have left the Freemasons?
It would appear that the former priest has been excommunicated latae sententiae which resolves any conflict between his "Catholicism" and his membership in the Lodge. He is now a Mason and no longer a Catholic whatever he may imagine unless and until he repents and renounces his membership in the Lodge.
The American rituals of Freemasonry are available from Barnes and Noble which published them in one volume. I suspect that the Vatican has adequate intelligence assets or other sources to be quite familiar with the rituals of Europe's Oriental Lodges. Don't you agree?