Write a short memo: "This is just your opinion"

I'm not going to try to parse Brin's response, but realistically, if Yegge had just written a page-length summary of his argument on this subject no one would have paid attention. Short-form writing lacks the scope to argue a point on factual arguments. It tends to rely on the author's personal credibility. In a large company, it's hard for people outside senior management to have the personal relationship with the CEO that's required to be persuasive with a short memo.

Engineering reports and academic papers get around the problem by including an abstract. It's not really the style to include them in informal business memos, but it might help in a situation like this.