It doesn't sound like a heat-of-the-moment reference, but a very calculated one based on this line from the article:
> According to his sources, Colby’s team picked apart the pope’s January state-of-the-world address line by line and read it as a hostile message aimed directly at the administration.
It sounds like some hothead idiot driven by the big orange hothead idiot prompted Claude about how to threaten the Vatican and then used its talking points on the ambassador.
So "calculated" maybe, but only because AI could come up with the answer, I have serious doubts that many of these people possess more than basic literacy much less the ability to come up with something like this. Or some CIA analyst who hates their job came up with this to mock their bosses.