Apple are the folks who led the charge on there being no Flash on mobile devices.
I just gave it a shot on my iPhone and it did load it's got a totally different interface from what's being served up to my computer. So it's got to be using a second version that's put together in HTML5 or something like that. If I disable Flash on my computer, though, instead of sending the version of the app that goes out to the iPhone, it looks like it tries (and fails) to serve up the Flash version.
Long story short, they've got two different versions, one for Flash and one for no Flash, but the system they're using to decide which one to use is broken.