The need for a running engine to operate a hyd winch can be over-come, but at some cost and complexity. And you end up with an electric over hydraulic winch.....
As to the merits of each, it has been discussed at length a couple of times. I know that there was some sort of server hick-up at one time, so not all of those threads may have survived.
One aspect of hydraulic winches that rarely gets mentioned is the control system. In the case of the Milemarker control valve, either by design or default, it yields to hydra-boost brake demands on the PS system. Presumably similar results would stem from trying to steer while winching. So no winching while setting on the brake pedal if hydra-boosted, and likely no turning while winching either.
At least that has been my experience with one mounted on a Ford PSD. The no brakes part particularly sucked since the truck is a manual and we were trying to unstuck a really stuck Samurai (double high centered on a log) while parked on a gravel road.