What would concern me, is that people who do have issues and can't tolerate a compliment, give one, or hear someone else getting one, would then never compliment their child.
I compliment my daughter on her ability, her achievements, her personality traits like kindness or how clever she is etc, and also her appearance, because I wanted her to grow up confident about her self. To be able to give and receive compliments, and to do so with grace.
There was a thread on here awhile ago about this subject and some people posted their parents had never ever complimented their appearance and it made them grow up thinking something was wrong with them. That they were in some way "ugly" so the parent could only focus on other things.
It's very sad when you think about it. Appearance will never be unimportant to us as humans, god even in many tribes it's important with hair and elaborate body make up, it's what generally attracts us to a mate, what helps us be presentable in work settings, what gives ur impressions of people. and no one but no one wishes to grow up thinking they are so ugly they are not worthy of compliment, not even from their own parents.