One additional point, one amora said he davka took off his jacket, because he didn’t want to appear choshuv. There is a maila in anivus and simplicity. Remember the story of Choni Hamagel or Reb Chanina ben Dosa. Another tanna stated that if he rested his head on his kness a whole day, the RBSH wouldn’t listen, while Reb Chanina does it for a moment and he is answered. His wife asked him, why, are you less choshuv. He said, no, but I daven like an officer in front of the king, while he davens as an eved in front of the king. The simpler, the more rachmanus hashem has, sometimes.
Finally, we live in a casual time where even a jacket may not always be necessary when seeing a president. President Bush himself is often photographed without a jacket and tie.