I would think it pretty clear that they aren't shy about making their displeasure loudly and concretely known when denied. I can imagine an executive order in the research or draft state that'll make it so any entity that continues to deal with Anthropic is automatically put at a disadvantage. Something similar in spirit and effect to the sanctions on Cuba.

The state has unlimited resources to wreck you and I am not sure many people have faith in the US's judicial system to keep them in check.

This will be a death by thousand cuts.