I won't claim to fully understand the full reasoning behind Coach Mulkey's reticence to talk about this, but I have some thoughts.
First, I know there have been a lot of comments like "why won't she at least say something about how we want Britney to return home safely?" Well, the answer is that she absolutely did say that.
Now, after hearing this interview, I was immediately reminded of an article I saw yesterday shortly after the "no comment" story started making the rounds. I wish I could remember where it came from and link it to you, but I don't remember and could not find it again. I can only say it was among the first to come out yesterday. The story was primarily directed at Mulkey, but it also addressed comments by Baylor. They admitted that the university had released multiple tweets/statements/videos about Britney, but then implied that it was not the "correct" number of times. I want to say the gist was something like "they tweeted right after the arrest, but they didn't say anything new on the day of the conviction." I apologize again for not being able to produce the link - maybe someone else will have seen it and can post it.
But here is the point I am coming to. Some people and outlets want to play this weird game of one-upsmanship. "Yeah, you said the right thing. And you said it multiple times. But it was only five times and not twenty times. How come you won't say it more? Oh, you said it twenty times, but you didn't attend a rally organized for it." That was my distinct impression from the article's mention of Baylor. It is not a winnable game. If someone's intent to say you did not do enough, they will find some angle that gets them there.
Mulkey has been the target of media hand-wringing before, and I think she knows better than most my point about it being an unwinnable game. It would not surprise me in the least if that was a major part of her decision to remain mostly private on this subject.