When I go into the inventory, I can equip and unequip head gear for my main character with no issues. However, when I go to a companion's inventory, I can find no option to unequip head gear for companion characters. This seems like a miss. This forces companions to wear some sort of head gear at all times (goggles, hat, helmet, etc). Please consider fixing.

Well if you want to change a characters head gear you need another piece of head gear.  If you are talking about not seeing the head gear I know there is an option on PC that lets you hide both the companions and the players head gear.  I would hope they allowed the same option on PS4.