No they don't. They cause it to disappear completely. And then your character has a cross between 80's nerd sunglasses from "Sixteen Candles"/cyclops' visor/ and an amateur boxers headguard. Or a weird hedband that Abba might have wore. Can you picture any of that stuff on Obi Wan Kenobi? No?
I doubt he can. Ugh... I want my hoods down already! It's the only thing I need for TOR to be 10/10 game.