No, it does no such thing.This argument assumes that the WWII cremation was comparable to modern, legal standards rather than merely some kind of expedient to get rid of most of the corpses.
The figures I quoted relate to the time taken to completely consume a given quantity of body mass, ie the amount of time that elapses from the point at which a given quantity of meat is introduced into a cremation furnace to the point at which only bone fragments remain and can be removed from the furnace. That amount of time is stated to be as short as one hour per 45 kilos of body weight in modern cremation furnaces.
The "modern, legal standards" kick in when the actual process of consuming of the body mass is completed. According to those standards, a new body cannot be introduced until the bone fragments remaing from the previous body have been removed. That means that the cremation cycle for one body is longer than the time it actually takes for that body to be fully consumed.
But the bottom line is that the physical process of reducing a body to a few bone fragments, and the time needed to complete that process, is the same in a modern crematory furnace as it was in the Auschwitz crematoria. Indeed, the duration of the process in a modern crematory furnace could well be shorter, due to its technological superiority to the furnaces installed at Auschwitz.
At the time the eyewitnesses made their post-war statements about the body-disposal process at Auschwitz, the figure of four million persons gassed and burned had been declared by the Soviet authorities, and indeed the statement by Tauber specifically supports that figure. The suspicion remains that the eyewitnesses exaggerated the number of corpses that could be cremated per unit of time in order to support the claim that four million persons could be gassed and burned within the period of operation of the Auschwitz crematoria.As for the numbers of dead at KL Birkenau, we don't have to deal with the 4 million Soviet figure, since modern estimates of the dead are considerably lower.