if you have an average face being Tall doesn't increase your Looks, it increases Status

This is more a statistical take, not an absolute one.

Girls most always refer to a guy's face to describe how much hot or pretty he is, imo this is proven by Omegle reactions. If your face is average/plain I don't think that your Looks increases if you're tall, instead it increases your Status because it's a recognized halo and makes you look more important. Imagine a girl cringing because an unattractive guy kissed her, I don't think the cringe would disappear if he suddenly became taller.

However, if you have an attractive face then being tall increases both Looks and Status.

Being too short is instead a downside for both, but an attractive face can still save you from death sentence and make you genuenly desirable