They don't support appeals for botting bans. Not over email, twitter, reddit, forums, appeal system, etc. They'll just say sorry for your loss, which is a shame because they've been known to make mistakes.
"Macro use (botting)
Gold farming
Account hijacking
Real world trading
Bug abuse
Manual permanent ban (fraud, community safety, staff investigation)
We will not enter into debate about these type of bans on our forums, Twitter, Facebook or through any other method of communication."
Not sure if this is something new, as I tweeted a mod before about an account that was banned for account hijacking, and he got back to me about it. Guess they aren't willing to look into anything anymore.
I have seen quite a few posts on reddit recently where players have claimed that they have been wrongfully banned, and a mod has looked into their account. In all of these cases, though, they determined that the ban was correctly placed (usually for macroing).