I won't dispute the possibility of the scenario you describe, but the memo being discussed doesn't really fit this at all. The policies and programs he objected to are largely (if not entirely) things like mentoring programs and techniques for making the hiring pool more diverse.

There can certainly be a blurry line in some places that makes it difficult to identify whether a given program has an (unintentional or otherwise) discriminatory effect but a lot of the stuff he objected to is very clearly positive assistance for people who need it, and not anything that harms men in his position.