He posted false information, apparently, when he claimed his wife had prevented him from seeing their son. Based on his apology, it was his choice to not utilize his supervised visitation. I'm not saying the judge was right, at all, but I don't think it's much of a stretch beyond other measures that impose upon speech. Parents are frequently ordered not to discuss custody matters publically, or with the children, during custody trials. The punishment for violating that would be contempt of court.
"I would like to apologize to my wife, Elizabeth Byron, for the comments regarding her and our son ... which were posted on my Facebook wall on or about November 23, 2011.
"I hereby acknowledge that two judicial officials in the Hamilton County Domestic Relations Court have heard evidence and determined that I committed an act of domestic violence against Elizabeth on January 17, 2011. While that determination is currently being appealed, it has not been overturned by the appellate court. As a result of that determination, I was granted supervised parenting time with (my son) on a twice weekly basis.
"The reason I saw (my son) only one time during the four month period which ended about the time of my Facebook posting was because I chose to see him on only that single occasion during that period.
"I hereby apologize to Elizabeth for casting her in an unfavorable light by suggesting that she withheld (my son) from me or that she in any manner prevented me from seeing (my son) during that period. That decision was mine and mine alone.
"I further apologize to all my Facebook Friends for attempting to mislead them into thinking that Elizabeth was in any manner preventing me from spending time with (my son), which caused several of my Facebook Friends to respond with angry, venomous, and inflammatory comments of their own."