> Not only do they not get the job, they also get put in the same analytical bucket as the higher-class men.

What the study shows is that upper class men have a clear advantage, and everyone else is roughly in the same boat. (The callback rate among upper class women was the same as the callback rate among lower class applicants.)

There is no reason that the concept of "privilege" cannot embrace economic privilege as well as gender and racial privilege (and it should, because discrimination is happening along all those dimensions). However, at a certain point the theory comes into conflict with political reality. The current trend in American politics is various marginalized groups (women, LGBT folks, racial and religious minorities) all congregating under the same tent, even though they otherwise don't have all that much in common. The notable exception is lower class white men, who (as a generalization) are very resistant to the idea of being a part of that tent. And they disproportionately vote against the interests of the other folks in that tent.

So it appears to me that the exclusion is at least in part self-imposed.