The engine driven pumps switches are normally left in the ON position as the solenoid energises when the pump is switched OFF.(therefore saving the slolenoid valve when left in the On position).
The only hydr pumps that are switched OFF on the ground(after engine shutdown) are the electrical pumps.
The engine driven A is switched off when tow bar is required and no pins installed.
Some airlines request their crews to always switch OFF the syst A engine and electrical hydr pumps as they have no trust in either the pilots or the ground crew.