B767 stab trim is hydraulic powered and electrically controlled. There are 2 stab trim control modules. L is powered by L hyd system (is the R hyd PTU still operational?) and R is powered by C hyd system.
Electric trim (control wheel switches) uses both control modules (as does manual trim) and automatic (A/P driven) trim uses either L or R module - only 1 at a time.
BTW I think the PES is the PTU using L system return fluid.
Early a/c used cables to open the appropriate valves to operate stab trim while later a/c have electric actuation. The "handles" are manual and the "switches" are electric.