Brent Musburger is a man of little remorse, it seems. According to TMZ, he doesn't think he said anything wrong when it comes to the Katherine Webb incident.
TMZ reporters caught him while he was in the Palm Beach Airport, and he had this to say about Katherine Webb and specifically ESPN's apology. When asked if he thought was he said was inappropriate, he gave a very stern, "No."
"Individuals say what individuals say. And corporations do what corporations do [...] Obviously, they felt it was the right thing for them to do."
Regardless of ESPN's apology, it looks like neither Brent Musburger or Katherine Webb herself thinks that his comments were out of place. Here's a video of Musburger's reaction.