Hood and cloak issue was reported a long time ago, when Alix was a Gendarme, and when Joachim was a Gendarme. I'm not sure why it's never been fixed. It will also change out your accoutrements and sometimes change your clothes to a second Gendarme uniform in your inventory, if you're using multiple sets of the official faction gear (I.E., Gendarme Uniform, Gendarme Uniform Breastplate)