> I find it difficult to come up with an analogy from a public institution. What is the product the math department would be pressuring it's members to protect?

couldn't the exact thing that happened at Google happened at a university? For example one researcher could publish a paper criticizing the methods that other researchers in the department have developed because of their carbon impact.

I think it's fair to say that there are internal pressures not to do that - - such a professor would have a hard time thriving in the department if they are attacking the methods of their colleagues.