You have used Occam's Razor (the simplest explanation is usually correct) to argue that Hans did not cheat. One could argue that given, past unethical behavior, and overwhelming statistical analysis Occam's Razor would point to the simple explanation of cheating.
Statistical data according to who? Because it's definitely not Regan, the reigning authority of OTB cheating.
The statistical data is usually from people with 1/1000th the expertise and knowledge Regan has.
Again, if there is no evidence Hans cheated, no strange moves in his game against Magnus, etc...then the simplest explanation is he won fair and square.
The simplest explanation is not that he was using a device in a secured area for OTB chess.
You have used Occam's Razor (the simplest explanation is usually correct) to argue that Hans did not cheat. One could argue that given, past unethical behavior, and overwhelming statistical analysis Occam's Razor would point to the simple explanation of cheating.