> The examples should have come first, in the synopsis.
That is just a terrible idea. First, if what you're putting in the synopsis is not "a brief summary or general survey of something" then the section is misnamed or the content does not belong there. Examples don't belong there. Second, and more importantly, plenty of commands can do enough damage that people ought to read up on what they do before receiving an example. You're giving someone a false sense of confidence if you throw an example at them first thing. That's appropriate enough in some contexts, but not in official documentation for software tools.
> The traditional structure of man pages (Synopsis, Description, Options, and maybe Examples at the end) is just Bad.
The problems you go on to list have nothing to do with the structure, and everything to do with the content contained within that structure.
> No documentation expert would write doc this way, not even as a reference, say nothing of a tutorial.
Since "documentation experts" write documentation this way, it's hard to imagine why you'd assert this.