Well, just one data point for you (YMMV), but in "DEI" contexts I've been a part of, class diversity did actually come up somewhat regularly. I would not say corp diversity efforts I saw were all that successful in staffing that demographic—but they also weren't that successful in staffing minorities either. Mostly I think this reflects a consistent disconnect between what people wanted corp diversity efforts to be, and what they really were.
With all that said I do have a story of my own like this. In 2013 or so I wrote some stuff about spam detection and a Twitter engineer reached out about a job. I was an outgoing new grad from the University of Utah. When I got through with the loop the recruiter said, "How did you get here, we don't get many candidates from Utah." I still wonder what they wanted me to think when I heard that. What I actually felt was deeply out of place and uncomfortable. And it has affected every hiring process I've been apart of since.