do you like STI shifters or bar ends? That should more likely be your deciding factor.
Except that the LHT can take much wider tires and the geometries of both bikes are different. wentworth, I weigh more than you do and haven't had any wobble problems with my LHT (loaded or unloaded). However, you should definitely test ride each (with and without loaded panniers). Be sure to check the toe and heel clearance and how the bike rides over varying surface conditions.