I admire your solution, Dave, but even then there are nebulous edges in the specifics. Like you say, the schematic can be anything from a PDF (or PNG, worse yet) all the way to a complete ZIP of the raw design files. And then the raw design files could be for an expensive commercial product ... In other words, every single letter on the logo now encapsulates the same nebular problem that the whole logo does.
And this is the same problem as in any community logo. I usually see it with foods, "Organic" or "Non-GMO" for instance. Even "Made in..." country-of-origin is fairly meaningless since virtually no project has 100% of its raw-material-to-product stream existing in one place: does "made" mean "assembled" or does it mean "designed" or does it mean "all parts sourced in" or does it mean "we have shill companies that front parts from overseas so we can claim it's all local"?
Fortunately since OSHW is a tech-specific issue (assuming nobody is making OSHW furniture off-grid, at least) then one can expect there to be a website. As such, just include a URL on your boards and advertising. From a consumer view, this would mean you'd see a product listed as open source. Go to the URL and see what they offer. If it's not up to your standards, don't buy into it. Or do. Or go complain about it on the Internets.
The logo—from a community value standpoint—would only become worthless if it were slapped on nearly every single product. You'd eventually get to know the companies that are generally "more" open, offering better documentation, and those that are "less".