You don't understand apologies. The purpose of an apology is to smooth things over. It is not a prize to be won. "I said nothing that required an apology" is untrue on its face - someone was upset or annoyed by your statements enough to mute you. You were put out by this. If you wish to remedy this situation, you have to apologize. You have to reach out. The apology is therefore required. Now - you may not feel that the apology is JUSTIFIED. However, the upper hand in this discussion belongs to the other person. If you wish to communicate unrestricted on their posts, the onus for correcting the imbalance is on you. The choice is simple: Are you willing to abase yourself enough to bridge the gap of discussion? Then do so. Would you rather sit in your castle of high dudgeon maintaining that you have no need to apologize? Then accept that you've been muted. It's that easy.