You may be aware that a little while ago my "The Hornet" and "Lactodorum" accounts were banned for 3 days and indefinitely respectively for apparent breaches of the forum guidelines. Neither ban was the responsibility of a UK moderator. I have been asked about the outcome of these bans and the appeals process in general.
My appeals mentioned certain specific points which I wanted to be clarified but I can report that I have had NO feedback on the merits or otherwise of either appeal.
I have been in correspondence with Groundspeak about a number of matters, including the appeals process. I have agreed that the content of those e-mails will remain confidential but I think I can say, without fear of breaching that agreement, that Groundspeak say they recognise shortcomings in the appeals system and are trying to improve it.
So based on my experience, it seems that appealing against a decision of a forum moderator is currently a futile exercise.