Earlier quoted context omitted.
While companies must compete to exist, I don't think that requires work environment or culture to be competitive in nature. Interactions between coworkers should be fundamentally cooperative and cooperation between companies (such as contribution to open source projects) can also benefit all involved. The tech industry is not a zero sum game.
If you're reading "competition" as a license to be an asshole to team members, then we agree, but think that point is banal. Otherwise, I reject this argument. I see it as mostly waving off gender concerns. "Let's not address our broken perceptions about the capabilities of women, but instead think about how we can rework the entire fabric of the industry." I'm sure everyone's going to get right on that.
I think that we already have a primarily cooperative industry culture and that stack ranking is a bad idea in general, not because of gender concerns. I disagree with your statement that this is "a deeply, irretrievably competitive industry" though perhaps we mean different things by "competitive". Seeking capital is, to a degree inherently competitive, but even early stage enraptures are more often than not willing to help each other succeed.