Yes. Banning is banning. And, "coaching" that totally disallows the use of a word or phrase would be the same as "banning." There has not been any evidence to indicate that, in this case, "coaching" meant "banning."
And, I stand in disagreement with your sentiment re. Dave's response from Olathe. Here is Oliver's opening statement, Social justice, the term, has been officially banned from all literature and communications from the US/Canada Regional Office. At least, that was the directive given by the Regional Director under whom I served. That is either true, or it isn't. If "banned" means the same as "coaching" we need a new dictionary.