This sounds good! Plus, I don't like the GH location on top of that hill, far from the subway -- and a long walk back up, if you didn't take a taxi or their shuttle bus. Plus I never could find how to get the shuttle bus back up, since the reverse route is different than the route leaving the hotel.
If I get to Seoul, which is possible in Sept/Oct, I have got to try this hotel.
Overall, Hyatt is a luxury hotel chain in Asia, almost every hotel is a pleasure to stay in (note that I am not counting Australia as part of Asia here).