Re: Elephant in the room ...
The judge is the court in family cases. No jury involved.
And look, he emailed the draft and final judgements instead of having his clerk print them and posting them snail mail by second class post two weeks later. This is not a case of there being a miscarriage of justice. Nobody is even alleging that.
Frankly, I think that most people with contact with a court would rather that the judge be able to email judgements quickly, preferably in a more regular noreply@ email address that's not monitored by anybody to prevent any accusation of wrongdoing.
If one party wants to communicate behind the other parties back then you quietly have a word with the judge, and don't leave records of it. You wouldn't do it in writing, and definitely not by email.