The distinction, and its relevance, are obvious. If you're going to feign ignorance I have better things to do with my day than argue with you about it.

Then why do you argue about it?

Yes, there is a distinction, no it is not relevant. Just like to a blind person it would not matter what you wore so therefore 'looks' and 'what you are wearing' are closely related, related enough to both be used in this context.

So you say that what someone wears does not contribute to how someone looks.

That's quite the impressive opinion. Do you eat soup with a fork?