No, don't throw a fuel-pump at it yet. Take fuel pressure readings to verify this is a pressure problem. Assuming it is, when was the fuel-filter last changed? But at 80K miles, a clogged filter doesn't seem likely. The pump is powered by a Driver Module. I have seen several threads over the years where that Ford fuel-pump Driver Module has gone bad; they don't seem to be very robust. There need to be some electrical tests done at the Driver Module. I would need somebody to post electrical schematics to try helping you do those tests.
However, it sounds like you would have a shop do the pump replacement. Is that correct? Any responsible shop would do the above tests before changing a pump. If it is going to a shop anyway, leave it all up to them.
PS: That electrical cable may seem to "disappear" into the chassis, but the connector must be accessible down there somehow. Can the cable be pulled out of the hole in the chassis a bit?