I would argue that I didn’t need a concealed carry permit in this case.
CC laws are intended to prevent citizens from using firearms in confrontations when they present themsdelves. This need had already presented itself. The car owner was searching for the thieves of his car, and to retrieve his car from them. He had a right to do that. A confrontation was likely with car thieves who had a heightened likelyhood of being armed.
Retrieving the car, I don't know, I suppose it means what chased means. I hate to speculate, but I suspect from the LEOs perspective the issues will be the propriety of his locating/chasing down the car. Which was his and imo is proper though risky. But which I'm sure, if charged, the prosecutor will use to attempt to strip him of his self defense right. And the nature of the confrontation itself, whether it was self defense or not. In the absence of video or witness' that's a tough one to prove either way.