Well, I do not know what it is... but once again you have send me to the right direction. Flags you (or Oleg) suggest failed to improve situation, but then I have tried one flag after another and found that with SYMOPT_NO_PUBLICS search is fast (do not ask me why), but at the same moment local variables info stops working
So the solution is to SetSymOptions with SYMOPT_NO_PUBLICS before retrieving global var info and once again without after it to get local variable info working. Seems like TheIDE is now able to display the value of global variables!