I think this is partly because AsciiDoc has broadly been tied to a single implementation, AsciiDoctor, without a spec, not even a sketch in a blog post like the original Markdown was. It's only recently that AsciiDoc has begun to think of itself as "a markup language" rather than "the markup language used by AsciiDoctor". A spec is apparently WIP.
As for why it never gained the memetic popularity of Markdown that might have led to a different trajectory, that's harder to say. The One True Markdown is fundamentally much simpler than AsciiDoc, and consequently much easier to learn, easier implement in JavaScript for live rendering on the Web, and easier to extend with your own opinionated features. So I think it was easy and attractive for various platforms like Hacker News and Github to support it, and this I think had a snowballing network effect.
Personally I love AsciiDoc and I think it's the future of technical writing and publishing. It's everything I wanted out of reStructuredText but without its fussy, non-composable syntax. However I don't think that future will become reality until a spec is published that is friendly to implementers other than AsciiDoctor.
AsciiDoctor is a second implementation that doesn't even fully compatibly implement the original specification. The original AsciiDoc is pretty well-specified, and it's mostly the plaintext markup of stuff that was intended to go to DocBook, with very little surprises from that.
AsciiDoctor pretty much focused on a direct HTML translation and ignored the inconvenient parts. (Some of the inconvenient parts are deprecated syntax that while AsciiDoc's had a replacement for, I've written the old style for ~20 years and when GitHub tries to render a document with AsciiDoctor, oops; sometimes I'll change the document, sometimes I'll decide rendering on GitHub isn't important.)
As for why it never gained the memetic popularity of Markdown that might have led to a different trajectory, that's harder to say. The One True Markdown is fundamentally much simpler than AsciiDoc, and consequently much easier to learn, easier implement in JavaScript for live rendering on the Web, and easier to extend with your own opinionated features. So I think it was easy and attractive for various platforms like Hacker News and Github to support it, and this I think had a snowballing network effect.
Personally I love AsciiDoc and I think it's the future of technical writing and publishing. It's everything I wanted out of reStructuredText but without its fussy, non-composable syntax. However I don't think that future will become reality until a spec is published that is friendly to implementers other than AsciiDoctor.