I was thinking that Anthropic would just be providing the models/setup support to run their models in aws gov cloud. They do not have any real insight into what is being asked. Maybe a few engineers have the specific clearances to access and debug the running systems, but that would one or two people who are embedded to debug inference issues - not something that would be analyzed by others in the company.
The whole 'do not use our models for mass surveillance' is at the end of the day an honor system. Companies have no real way of enforcing that clause, or determining that it has been violated. That being said, at least historically, one has been able to trust the government to abide by commercial agreements. The people who work in cleared positions are generally selected for honesty, and ability, willingness to follow rules.