Full-fledged Flash rarely works properly (or at all) on phones nowadays. And the Flash implementation in this game is resource-heavy, so it's unlikely ever to work on phones. Haven't heard of a phone with 1GB of RAM yet. It would have to be a different, simplified version of this game tailored for the phone environment, with drastically scaled-down graphics, etc. No more downloads of HD photographs. (Unless there was an installation package to be downloaded separately on the main computer, before launching the game on the phone.)
For starters, it would be nice if at least these forums, PMs and Wall messages worked on the phone. But they don't (apart from simply getting displayed), because the login window is Flash-embedded as well, so there is no way to log in to your WGT account on the phone. (In contrast, logging in to phpBB-based forums works smoothly, as does submitting forum posts from the phone.)