Here is the text of the reply that I received from Spirit Airlines in the matter of PFC Sparling; I've omitted greetings and signature. We report, you decide:
Thank you for taking the time to contact Spirit Airlines regarding PFC Joshua Sparling. There are 2 sides to every story and the situation was described quite differently by a number of other people present that day. Regardless, please rest assured that we have the utmost respect and admiration for PFC Sparling. When he arrived too late for our flight, we could not accommodate him due to security regulations. We offered to accommodate him on our next available flight which he and his family refused. We are of course glad that one of our fellow airlines in our concourse was able to accommodate him on their next flight.
We apologize for any confusion about this situation and the perception that we did not want to carry PFC Sparling on our flight. To the contrary, it would have been our honor to serve PFC Sparling, but given how late he arrived at the airport, regulations prevented us from doing so.