They probably sound the same to you because you have zero training and zero ideas about what your rights and responsibilities are when carrying a firearm for self defense, zero experience with deadly force encounters, zero clue about the OODA loop , the importance of situational awareness or the basic rules of firearm safety. Most likely you only possess a very basic knowledge of how a firearm even works.
The difference is simply that if I pull a gun I have already made the decision that I am out of options and this is the last resort. You don't pull a gun out to scare someone Dan. That is called brandishing and it is illegal in most states. If you can see that I am armed I have already exhausted all my options, including my first choice which is always to remove myself from the situation safely and quickly. You guys have all these ideas about what carrying a gun is and why people do it. Maybe you should educate yourself a little before passing judgement. There's a name for people who pull a gun out and point it at someone and say freeze. It's cop. I am not a cop. I am not going to pull a gun and point it at you in an effort to make you stand down. If I pull a gun on you, you are armed with a weapon that I think will kill me, I have no chance of removing myself from the situation safely and have already run my loop and decided that my only way out is to stop you as quickly as possible.
I know your TV told you that all gun guys are nuts and think they're Rambo, and to be fair there is no shortage of those dumbasses, it comes along with the territory. The fact is though I have thousands of hours of training with professionals, LEO and military and take very deadly serious my decision to arm myself for defense of myself and my family. And I have good reason to. The thing that I don't do is carry a gun because I am afraid to fight or because I think it makes me a badass. And the very last thing I would do to extricate myself from a volatile situation is shoot someone. If I shoot someone my life or someone else's life was genuinely threatened.