It is not faster except by weight, AD has more dichromate ions (that do the heavy lifting) than PD since the Potassium part weighs more than Ammonium part relative to the amount of Chromium. Add a touch more PD and you'll get the same results...but the difference is not by a factor of two.
PD K2Cr2O7
AD (NH4)2Cr2O7
There are some other differences such as AD can go into a stronger concentration in water than PD before its starts to precipitate out.
Hope I have that all right.