Same boat here- LTC granted after some explaining. Not even a ticket since 1996.
I know a guy who has a couple CWOF for stupid stuff and he has an LTC.
You don't get CWOF for armed robbery, only stupid stuff that the court doesn't care to deal with and you can't afford to fight.
He also had a felony A&B dangerous weapon but that was dismissed. For that he had to write a letter to the chief explaining the circumstances. All the stuff on his record was like 25 years old and he hadn't had so much as a ticket since then