I have mixed feelings about that, depending on the Alanon group...usually for the body of the meeting, that's the way it is. However, in my neck of the woods, it is standard for meetings to close w/the Lord's Prayer. I remember I had posted this in a discussion thread quite some time ago and another member from a different part of the world said there'd be wholesale revolt in her meetings if that was done there.
I guess, like a lot of things about Alanon, it can vary a lot depending on the meeting and the region. I don't particularly like that practice myself, but I do as they say and "take what I like and leave the rest..." The benefit to be gained is worth a minor annoyance, to me.