I can tell you from my own experience and testing, that in a highly competitive environment such as an online video chat room with semi naked women, it is the other way around. When the woman is hearing compliments about her appearance non-stop, and you compliment her necklace instead of her ass, you will get noticed and appreciated instantly. It's a night and day distinction that I have found in that environment. Even outside of that environment, unless I was being very direct towards a woman, I would not comment on her appearance directly. I am not sure why any man would want to show his hand and give her that sort of power over him in the first place.
RE: Science Brief: Women Are Wooed By Men Who Use Metaphors