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IANAL, so the following is just one person's thoughts and opinions.

If you are trying to de-escalate, "I have a gun" doesn't strike me as in any way soothing the other person away from anger/agitation. It would strike me as "fightin' words" more than calming words - more as a threat (almost equivalent to actually drawing the gun) than a warning to go away. I am having trouble envisioning a scenario (granted, I sometimes have a limited imagination) where this would seem to be a viable course for the interaction in terms of de-escalating. If I feel threatened to the point where I am in fear of imminent bodily harm, I would think I would skip the words and go straight for the draw (those seconds could be critical to my ongoing well-being). If I'm not to that point of fear for life, I would think there would be much better ways to turn the interaction away from harm and to calm the other person's aggression.

Just my two cents.