Technically the BX has two pumps.
Integral to the HST is the drive pump which provides the hydraulic power to propel the tractor. Thats it's only function.
External to the HST is the implement pump. It provides the hydraulic power to operate the implement circuit(s), i.e. the power steering, pto valve, 3ph, FEL (if installed), BH (if installed) and 3rd function valve (if installed).
There is a Flow Priority Valve that "divides" the oil flow between the power steering circuit, the PTO valve and the 3ph, FEL, BH and any other hydraulic implement control thats installed so the power steering will work when other implement controls are operated simultainiously.
Since the hydraulic drive circuit has it's own independant pump and control circuit, increasing the pressure in the implement control circuit has no effect on it.
The abrupt reverse stop isn't effected by an increase in implement control pressure.