I would like for a EA manager to read this. I want to appeal to ToS
TLDR: Tried to play with friends recently, figured EA banned me, I tried to contact them but they say I am "permanently banned for cheating" and they will not reverse the situation, without providing...
The Terms of Service team have final say in these matters. If they've declined to overturn the sanction placed on an account there is nothing further to be done.