"Put down that wrench!"

What I was saying was that all projections have their flaws, so I wouldn't really be happy with any of them. In your hypothetical scenario, rather than depending on the data, I think it would depend more on the audience. If they were unfamiliar with the issues around projections, that would be problematic, to the extent that I might not want to use maps at all. For a more sophisticated audience, perhaps various different projections and copious footnotes. Or more ideally, an interactive GIS system where they choose their own projection(s), with appropriate caveats issued. That's barely scratching the surface of the issue though.