Not quite true. A person can be banned without all of their posts coming down. However, when someone is trolling they tend to get nuked, as do people who have been previously banned and are trying to sneak back. When nuked, all posts come down.
And as it happens, this guy got nuked by one of the staff. Reviewing his posts, I am confident it was a good nuke.
All the best, LM
Thank you for the clarification. 'Pod.