Can't count the number of times I've seen a hood and been thrilled like, "oh no, I don't want to risk it... okay.... I'm going for it!"
and then I look at the hood and it's not wearing pants or sneakers or gloves and I feel disappointed at the reduced risk.
Always a chance it could "come alive" but still.
Generally when PCs wear hoodies they usually wear some generic clothes under it so people won't know who they are, unless they don't mind being recognized by their unique custom tailored pants or something.
Here's what I suggest - Give hoodie and mask mementos a mixture of Du-Wear, EcoGear, and immy depot clothes to wear. Also, these clothes will act like shroud mementos in that people won't be able to 'farm' valuable pieces of clothing.