The more I think about this issue, the more I think we need a separate animal altogether that sits between Wikidata and Wikipedia (or alongside it somehow) and that is a quick-ref "simple mobile version" that acts as a go-between to image data on Commons (or any other WM project). Right now Wikipedia is still the main gateway for all related projects even though you can link those WM projects as extra "sitelinks" on the Wikidata item. We have seen with the problems regarding the label for the mobile interface that the current label falls short of what it needs to do, and the Wikipedia first sentence or paragraph is often not a viable option (too "chatty")
I am very satisified with all of the UI changes that Wikidata has implemented so far, but I don't think we should make Wikidata the definitive UI for mobile traffic, or for external websites. As more and more websites (such as GLAM's) link out to Wikipedia, we should offer them a way to tap into the wealth of info on Wikidata, especially since Wikidata is all about long-tail subjects at a higher granularity of precision, which is the same segment of information dissemination where most GLAMs reside.
It could be a "Reasonator on steroids"