This works until one notices the backwards hanging clothes more than the forwards hanging ones, and then one's OCD or something begins to care about reversing all the hangers more than choosing what to wear, like a game...

Did you notice any patterns about what you wear / don't wear from doing this?

I do a similar approach, except it's insert freshly washed shirts into middle of closets, so anything that hits an outer edge I don't wear much, and is the best candidate for pruning.