IMO AsciiDoc's advantage over Markdown, RST, LaTeX and others is its adoption of DocBook XML as an industrial-strength backing format. The combination of a pragmatic markup language and a proven, stable, and relatively media-independent translation target is unique and extremely useful.
I'm an enthusiastic believer in Asciidoc-the-language, but the tooling situation is confusing in parts, fragmented in others, and not really living up to its premises. This is exactly why I'm watching the asciidoc-wg project with great interest.
My personal wish is for a modern and first-class replacement for the various AsciiDoc-to-PDF flows. I'd bet on CSS Paged Media, although it's been a long haul. The current options (FO/XSLT, dblatex, and asciidoctor-pdf) all have pretty severe limitations.
If any of the AsciiDoc/AsciiDoctor devs are reading this, thank you 1,000,000 times for your efforts. It's an extremely complex project and I am grateful there's a community of talented people working on it.