I doubt that highly. Too bad you don't live in AZ, we've got an interesting website where you can look up people's court history, it's very illuminating. Lots of people have lots of minor issues with the law, most of them you'll never find out about unless the person or situation is "press worthy", which of course includes all millionaire athletes. Most of these guys are getting hit for traffic related situations, mostly minor.
As for "no crime, no publicity" I recommend you do an FR search on "Duke LAX".
Fallacy of the dramatic example. But your other points are well taken.