The internal pump has nothing to do with the rear hydraulics.
The pump in the gearbox is a charge pump, it scavanges the oil from the back end and feeds the front piston pump with a constant supply of oil.
It also supplies the pto, four wheel drive and hi/lo.
If the internal pump was bad you would be having problems with all the lo pressure circuits.
I will be back home in a week or so, I will look out the disc.