What is meant by the line "Please refer to the current release of AP2 module datasheet" for Module Rev F is that the values in the current version of the AP2 datasheet represent the values for Rev F.
The errata is for when you have an older version.
So looking at the errata for module Rev E, it has slightly higher current consumption.
Rev E
IDeepSleep Deep sleep command 0.5 µA
IIdle No active channels – no communications 3.0 µA
ISuspend Asynchronous suspend activated 3.0 µA
Rev F
IDeepSleep Deep sleep command 0.5 µA
IIdle No active channels – no communications 2.0 µA
ISuspend Asynchronous suspend activated 2.0 µA
I heard about different startup behaviour, something about stabilization, but if I understand you correct, there is no difference but the current consumption. I will ask my source again.