@intparent: Really? Who is penalizing the well-off white female? I don’t see why one should not provide the information, as @andyis has stated, as a social norm, nor, as @justonedad has commented, why this should be a problem.
Her profile will read as her profile reads. There are hordes of cues as to what her socioeconomic profile is, from zip code (not an absolute), to application for financial aid, as @austinmshauri has stated.
There is no diminishing value placed on her because she comes as she is. The consideration given to the URM, or hook in any aspect of the term, is not a knock on her “kind”.