I don't think there is much overlap between people capable of building cutting edge LLM's and the people who want to build a cutting edge LLM for the government.
The NSA managed to deliberately insert a backdoor into elliptic-curve cryptography right under the noses of everyone capable of making elliptic-curve cryptography.
Mathematicians in academia are paid a little less than AI researchers. Companies are willing to pay billions to steal the few people capable of driving development of frontier LLMs from each other. Cryptographers don't quite enjoy the same popularity.