No, not at all.
In fact, like most people I know who carry weapons, I don’t do that out of fear – and absolutely not out of “paranoia” – at all. It’s not that I carry a weapon because I have any specific fear or even a generalized fear. I enjoy going to new places and meeting new people, and my attitude is generally one of openness and trust. But I also realize that not everyone is as trustworthy as I am, and I’m also kind of a “sheepdog among sheep” very often. So I carry a weapon – or two or three. (Partly because not every threat is a lethal threat, so lethal weapons aren’t always the answer to a real or perceived threat, either.)
For example, getting away from the “personal security” aspect of your question, I also have formal safety training, have been First Aid certified and have had Red Cross “Lifesaver” training (and while that is no longer current, I have no doubt that I could perform “lifesaving” acts in the water and swim a mile or more if I needed to). Part of my current job is “EHS Supervisor” (Environment, Health & Safety). That’s a job that I neither wanted nor applied for, but the position opened up, and my boss appointed me “because you’re the only one in our group who can fill it as it demands”, and I have grown into it. Partly because of all of the training that I’ve had, and life experiences before that which have led me to this age, this position, and this responsibility, “I get it”.
I see threats and hazards – real ones, not imaginary and not phantoms in my own head – that I never would have seen while I was younger. I can (and do) explain in concrete terms why certain acts and behaviors are risky, and I can recommend courses of action, behavioral and policy changes, that can mitigate risk and hazard.
Does that make me “fearful” of hazards in the construction industry where I work? I don’t think so. I am wholly respectful of the dangers inherent in our industry; I am experienced enough to know where risk may reside that others seem to accept sometimes “because it has always been that way”, and I am committed to making the projects that I touch safer, cleaner and “better than it was when I got here”. That’s not paranoia; that’s taking responsibility.
I think a lot of people who learn effective self defense, whether they would verbalize it this way or not, generally feel the same way.