It can tell you how they approach responses to questions, specifically inappropriate ones. As Marshawn Lynch made very clear, media availability is a required part of the job. As the owner, how do you want your player to react?
Truthfully, potentially without thinking?
Simply stating that you are unsure how it's relevant and leaving it at that?
Walking out completely?
Quick witted humor?
It may be unfortunate, but it is potentially relevant to some of their duties.