Going back to the pics of TH getting on the jet, does it have a door on ech side? If so, indulge me for a moment: when I first saw his pics I thought it was not TS's jet because several of the pics have wheel covers on what looks like a much smaller plane, like a 4 - 6 seater. Then I realized it was another plane next to TS's jet.

Look at this:
http://ww2.sinaimg.cn/large/6e14d388gw1f6v11hfhvoj22du203hdt.jpg

Could he have walked off her jet on the other side and gotten into the other plane until the staged pics were finished, then done...whatever (like walked off that plane and gone back to a hotel?