Coach K lied, pure and simple. If a guy doesn't want to answer a question, he should just say, "it's between Brooks and me" and leave it at that. Repeatedly lying isn't a very good example of "leading by example."
But a casual look at K shows he has some personal issues: how much botox can the human face withstand? How much boot black does the guy put into his hair everyday?
A man who can't accept the reality of aging is a man with an ego that needs a bit of piercing.