For instance, neither of your examples - surveillance or automated drones - has anything to do with AGI. They don't need LLMs to do mass digital surveillance; they already do that and were doing it for decades before LLMs were a twinkle in anyone's eye. Sure, they'll try to tap into the user data generated by chatgpt etc. (and likely succeed), but that's not a different capability than what they're already doing. And automating drones - which, by the way, this is not future technology as you seem to imply, it's here today - is a special purpose ML system, that maybe benefits from incorporating an LLM somewhere, but certainly isn't pinging the chatgpt api!
But sure, you're exactly right at the end, I have no idea whether they see other angles on this that are new and promising. That's why I asked the question, I'm very curious whether there are any real indications thus far that militaries think the big public LLM models will be useful enough to them that they'll want to put a thumb on the scale to favor the companies running them over the companies that make their bucks on copyrighted content.