The best spec ops operators are the ones you would never suspect of being spec ops operators.
I know a retired one. For one thing, they have long hair and a beard when active. When they retire, they start looking like military.
At home, there is always a weapon handy. Usually up high where only they can reach it. In the man room, they have pictures of places that are “just some place”.
In my limited experience, the real ones don’t let you know. I know one former tier one who I knew for ten years before he told me that.