Personally I don't care about remaining anonymous about going to AA.
What I don't like about the people that are court ordered to attend is that they do not participate and sometimes disrupt the meeting. Most of them just play on their phones the whole time.
Sure maybe one court ordered person out of a hundred might get something out of a meeting and change their ways - I guess that is the point of the court doing it.
I currently have the luxury to go to morning and/or lunchtime meetings and they seem to have mostly people that want to be at AA.
I went to a night meeting that was probably 80% court ordered in the group - they heckled the lead and were very rude - I never went back to that meeting.