As far as I see, DTTG does not offer the “copy item link” feature that DT on OS X has, and which is extremely useful. It would fit well in the “Organize” menu. Since DTTG and iOS support these links, it would be nice to be able to create them on iOS as well.
It already is. Long press on a file and it appears in the popup.
Holy cow. Turns out, I have never, even by accident, long-pressed on a file
Related to that, I only recently found out that “long-pressing” on the Group in the upper left corner takes you “home”. I was about to suggest adding a home button that is available in all views, and just found that out in time (by accident).
Great that you found it.