If the DoW/DoD wants Anthropic, they'll get Anthropic, whether we know about it publicly or not. It's not unlikely that they're already working together and just putting on a show for the public.

I'd even go as far to say that if this is indeed a publicity campaign it is the most successful one I've seen in years. Many detractors of the existence of LLMs are suddenly leaping to Anthropic's defence.