They have a call scheduled with him, and have approved the app now. The App Store review process is a bit confusing - at first, he replied to the e-mail from the Reviewer, who replied saying there's nothing he can do. What he should have done is explained that there's a process by which you can get a different group, the App Review Board, to look at your appeal. That is different than replying in the "Resolution Center" or replying to the initial rejection e-mail.

If Apple was more developer-friendly, which they are absolutely not as a company, you would think that all replies to rejection e-mails should go through this board. But unfortunately, that's not the case - you have to go through a different process to submit an appeal, which is what it sounds like the blog poster has done (to get a call with them scheduled.)