I did not suggest banning any words.
To understand why I'm opposed to the word "woke", you must first acknowledge this fact:
Sometimes people have different definitions of the same word.
If you're willing to accept that, then it logically follows that using a word that people have different definitions of will cause more confusion than understanding. If our goal in speaking is to convey understanding, then that is best accomplished by avoiding words where people have conflicting definitions.
We've all learned that there are facts and opinions, but there is a third category: definitions.
If you watch for it, you will see that many disagreements boil down to nothing more than disagreeing about the definition of a single word. If we temporarily avoid using that word, suddenly we find ourselves in agreement, or at least having a better understanding of each other.

