The idea that semantic representations are underspecified, that is more abstract than the specific interpretations obtained in various contexts, is by now current in lexical semantics. However, the way in which underspecified representations give rise to more precise interpretations in particular contexts is not always clear. On one view, context provides missing information, for instance because it contains salient entities that can be referred to. I consider here the symmetric dependency, in which lexical elements impose certain semantic profiles to the contexts they fit in. I show that, although they are highly underspecified, those profiles cannot be reduced to a general semantic frame, unlike what is proposed in Pustejovsky's Generative Lexicon, and that their semantic adaptability reflects the highly abstract and similarity-based character (vagueness) of the predicates that help to define them.