As much as I dislike Apple's product and overall behavior as a company, I'm with Steve on this one.
The fact that Apple's CEO chose to share his email and takes the time to answer to everyone is admirable imo. And also the fact that he's answering with all honesty, even if it's sometimes brutal, is also a great thing. If you had to manage a big company AND had ~1000+(++++) emails to reply to (and you chose to try and reply to all of them, including stuff that your "lowly" PR chose not to), how would you react? He gave her an answer, not a pretty answer but an answer, but the girl was persistent. Of course he could be more polite, but so could she.
Thumb me down all you like, I don't own a single Apple product but well we should all judge things on a case by case basis shouldn't we?