Compare ground pressures in game to see the differences. Keep in mind that you are reading the rememberances of a poorly educated soldier from a country where information was too valuable to share with most of the people, so we can forgive him for incorrect conclusions.
As far as the game, 0 radius turns, like the Tiger and Churchill were capable of, are not modelled. Vehicles rotate roughly alike for coding purposes. But you can bet CMx2 will take a shot at improving that.