All cases of ban and account recovery are handled separately, all you have to do at this point is have a solid argument to prove your account was indeed compromised (I can not find any hint of a changed password or email, so if it was hacked, your log in details was exposed). Mods can choose not to act in certain situations if they are not convinced enough.

Rather than following the hacked and lift accounts process, follow the ban message on your original account, there is an email you can use to appeal the ban with all relevant information.