I think that was a deliberate choice on their part, but it needs more refining. I'll explain. What makes the democratically elected fascists so dangerous in the first place is that they don't say anything remotely fascist in public, or to describe their policies.
Imagine if an Integralist got elected by a large margin. The name 'Integralist' scares the people. But their policies, they will follow it as long as that word isn't used because they support them.
Give him as you suggested a scene in private, where it's revealed he very much wants to emulate Mussolini.
That scene would end all discussion.