Earlier quoted context omitted.
He quotes "I must cease and not access the Facebook site(s) and/or services for any reason whatsoever." There is not EOL date in his statement.
It's not the "for life" anothermachine is disputing, it's the "banned." What he received sounds like a simple nastygram. I could send you a letter demanding that you give me your house, but that wouldn't mean that you are obliged to do so.
The "stop distributing your browser plugin" is a nastygram cease and desist, yeah, but there's nothing wrong with Facebook banning him.