I like wearing hats - I have quite a large collection.
None of them conceal my face, so I shouldn't be a problem to you.
(I won't be, because I don't frequent your sort of establishment. I won't be 'taking my hat off to you'
)
Hats can be a stylish accessory to a colour co-ordinated outfit and provide an essential winter warmer addition.
PS you would go down like brick if you tried to attract wedding parties.
This is to illustrate how ludicrous the rule is