The disk functionality has various requirements, one of which is that the browser being used must support both saving and loading arbitrary files to/from disk via the normal browser mechanisms. Traditionally, on mobile devices that has not been the case and there's been no good way to test for it, thus the functionality is blanket disabled in mobile device browsers.
RE the minimized UI bar: That's probably due to the viewport dimensions. By default, if the viewport is ≤800px at startup, then the UI bar starts minimized. If you had a large enough device, say a tablet, then you'd see the same behavior as on desktops. There are other viewport dimension dependant behaviors as well.