The TSA list of disqualifying crimes only applies seven years back, and reckless driving is not one of them anyway. So no problems with the government.
The good news is that he was young, it was a long time ago, it was an isolated incident, and it was a "victimless" crime. Generally this means the airlines may grill him about the incident, but will not likely hold it against him. There is plenty of gouge out there about how to deal with this sort of thing at an interview...read and heed it and he will be fine.
As a motorcycle guy myself, I know how easy it can be on certain bikes to just twist the throttle and go from legal to moving violation to reckless in about one second...I think most interviewers would understand this on some level also. Unlike shoplifting, burglary, etc he did not wake up that morning intending to commit a crime.