Wordpress is failing on mobile.
Most of the themes are poorly optimized for mobile. For example open http://wordpress.org/news on your phone - there's so much mobile fail happening here, from the hamburger menu and the poor use of space at the top to tiny fonts and navigation elements. Over at blog.wordpress.com there's other fail going on, like the performance of opening the menu top left. Both of these reflect the general state of Wordpress themes from my experience.
Meanwhile, aside from some app-based editing tools, Wordpress has completely failed to bring blog content to apps.
The #1 use case here is for app developers who won't content from their blog to be available somewhere in their app.
And actually it's not just Wordpress failing here. There's such a gap in the market that mobile marketing platforms like AppBoy are filling the gap with product features e.g. http://www.adweek.com/socialtimes/appboy-reveals-in-app-news...