Well Yigor, let's return to your lesson number one since you deny to pass for your reasons.
"Move orders in openings are important and when White decides to play h3 eventually its because Black gave the opportunity to do so. Now as a good mathematician you are, try to find by your own ( the equation) why it's awkward for White to prepare this nonsense on the second move."
This seems to be a quite good way to prepare the London system. The idea of 2. h3 is to prepare the retreat of DSB to h2 if necessary (when it's attacked by Nh5, for example).