In my experience and the last coupe outings have stressed the point. I would stick with a weir rope. They are cheaper and they put up with abuse. My last winch out, the rope was rubbing ageist a rock face and the winch before that earlier in the day the rope was ageist under brush. In both cases a synthetic rope could have easlly been cut.
If you are working on a budget go with the wire rope.
Give Bear a call in Edmonton 403.651.1621 He can ship to your door, He beat North Ridgs price on synthetic rope as well.