You don't win an argument (or a debate - or a pitch, for that matter) by being insistent or unpleasant until your opponent (antagonist, dance partner) gets disgusted with the whole thing and leaves. It's not a last-man-standing battle for territory. You win by convincing the other party to share or at least accept the validity of your position.
In the marketplace of ideas, someone has to be interested in what you have to offer. You can't bully them into buying it.