I'm not a lawyer, and I don't even play one on TV or the internet. But, from some of the FL criminal defense lawyer websites, the term "improper exhibition" (vs brandishing) is not cut and dry. Many states have a specific exclusion for displaying a firearm in a threatening manner while exercising self-defense. Florida does not. There have been successful defenses against the charge when there was a self-defense claim, but it's not guaranteed. IOW, if you're charged, you have the expense (time & $$) to prove you were justified in displaying your weapon.
If you call to report an incident, you are going on record as having displayed your firearm. Should the assailant claim you threatened him w/o any justification, it becomes a he-said she-said incident - which, without supporting evidence (security camera footage) or witness statements - and if you have a particularly anti-gun DA/prosecutor, you could find that self-report to be a very expensive call.
Again, I don't know what the answer is. But the legal system, IMHO, is too subjective and gray to trust the truth will prevail if you don't have substantial evidence in your favor.