Some traits will be clearly desirable, but so many aren't. Introvert/extrovert, opinions on how to raise kids, family goals, what sort of place you like to live (rural/urban), political views, conversation style, etc. Those are going to vary greatly amongst people.

Yes, some preferences vary widely, while others are more narrow, such as height, income, seniority/authority, and facial structure. In aggregate there is a clear spectrum from desirable to less desirable along those dimensions. It's definitely true that beauty is in the eye of the beholder, or attraction more generally, but it's hard to believe that being 1.60 m tall won't make you (in general) less attractive as a man.