Often said. Rarely backed up by such data. Efforts to measure bias in tech has consistently shown preferences favoring women:
https://www.pnas.org/doi/10.1073/pnas.1418878112, the chart with the important data: https://www.pnas.org/cms/10.1073/pnas.1418878112/asset/fc20a...
Study on sending resumes to SV tech companies: https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3672484, HN discussion on the paperhttps://news.ycombinator.com/item?id=25069644
Yet all the DEI programs I've seen firsthand have privileged women over men.