That isn’t necessarily an unreasonable position. Police are very skilled at eliciting confessions, even from those who didn’t do it. If he didn’t confess with the presence of a lawyer, this is probably best.
http://www.freerepublic.com/focus/f-news/3265765/posts
They probably don’t need it anyway.
They have him on video wheeling a recycling bin out of the school. They found a recycling bin near the body. Plus DNA on her. He’s toast. Hope they hang him.