Damn, I was a bit dumb, found an answer after a while.
All the "getters", like methods obtaining numder of current page, total number of pages, current zoom, etc are supported by the other ActiveX obj, AcroExch.AVPageView (wrapped inside AcroExch.App it is) to be exact.
Detailed info is in the Adobe reference, here: IACReference
But the key point is that Adobe Reader itself provides only AxAcroPDFLib.AxAcroPDF object with "setters" and nothing more, even through DDE messages. Seems that full functionality is only available in Adobe Acrobat, which is not free and is licensed/purchased in a usual commercial way.
Thus, as Adobe has it, you can either use limited Reader OLE methods or purchace Acrobat.