I haven't gotten very far with my DS JK, but if you pick the right options after you defeat Bengel Morr on Tython he says:
Makes me wonder how significantly that choice changes the story line...
This would be a good suggestion except that you loose the gear comparison for your companion if not present which would make it a pain to shop for upgrades for him/her.
If you have a full head helm and don't select the option to hide it then it overrides the hood. Not sure if every 'hood' class gets them. but at 20 something I got one on my inquisitor.