Using that factory jumper wire wont help if the rest of the wiring between the fuse box to the pump is gangrene--which often happens after many years of salt and or weather exposure..
I'd unplug the connector right at the pump if possible,and use an old headlamp as a test lamp,which will draw enough amps to show up any excessive resistance in the wire--it'll glow dim if it has voltage drop,while a multi-meter or small bulb will seem to show no problem...
A friend showed me one truck that drove him nuts at his shop on the lift--it had a new pump installed a few days earlier,then died again,had to be towed in..when he hooked up and left the headlamp bulb on for about 30 seconds--the lamp would suddenly flicker,go dim,then barely glow...he had replaced the wire connector at the pump supplied with the new pump too,those often corrode and cause troubles..
He then showed me a section of the wiring up near the drivers side floor that had been rubbed thru and was all green inside,that he had not inspected when the new pump was installed...he ran a new wire,and it started right up...thought it was a defective new pump,but in this case it wasn't..(about 1/3 of all new electric fuel pumps he installs seem to come back "junk" in a few weeks time--its getting tougher to get a good one the first time around