They do mail you. Just received feedback.
Hi XXX,
You're receiving this email as you've recently appealed a ban on the account with the login name: XXXX
After a comprehensive review of this account, there is no evidence to suggest the ban was applied in error and so will not be returning this account to play.
Our decision is final and any repeated attempts to appeal this ban will be denied.
As described in our terms and conditions the account creator is responsible for the account's behaviour so you are more than welcome to create a new account and start afresh, and would strongly advise you to read the RuneScape rules to avoid similar issues in the future. *Please note: This message has been sent from an email address that does not accept incoming mail. If you need further help, check out our online support centre.*
Mod Jane P
Jagex Customer Support