For SpaceX to internally segment ITAR from non-ITAR is a huge bureaucratic overhead for them which leads to a possibility of mistakes. Doubly so since one of their explicit concerns is having foreign agents steal their trade secrets. And therefore they have to be guarding against intentional attempts to access what your job role says you don't have access to.
Given that, it makes a lot of sense for them to simply require ITAR compliance in all roles.
Given that, it makes a lot of sense for them to simply require ITAR compliance in all roles.