Washer: Whirlpool WFW95HEDW0, spin cycle isn't really spinning out the clothes (leaves them wet)
I would check the pump again. If it's 120 Volts, remove the connections and jump it to a 120 Volt source and see if it drains the rest of the water out. The spin cycle will not function correctly with water remaining in the drum. Maybe remove pump from the drum and make sure nothing is clogged inside by the impeller. It seems that the pump just isn't doing it's job.