Oh, OK, now I see what you're doing.....
had to go back a few pages!
You're trying to power the pump with the hot wire kit?
Right?
Not the OEM '94 relay your truck has (had) up on the pass firewall. Had me lost there with the color coding.
LOL!
If the NP harness has an intergrated FP relay, the original is still there, AND you've added the one from the hot wire kit, that's about 2 more relays than you need. (wink!)

If it were me, I'd not use the hot wire kit and just put the OEM plug back on the tank end of the FP harness, plug it back in, just like factory, crawl back up front, and check the FP like RedHeartBeat suggested. Jumper 12v to the grey wire coming out of the OEM relay and check your FP for operation. If still no pump buzz, check the OEM fuse next to the OEM relay. Still no buzz, check for 12v in the grey wire at the tank and check your pump to chassis ground.
If that all checks out, see if the OEM relay has power coming in (constant 12v) WITHOUT having to jumper from an outside source. (Probably red wire) That'll tell you if the truck harness still has a constant 12v feed to power the pump.
Once that's established, try tripping the OEM relay, and see if your pump powers up.
Jumper 12v to the low side of the relay. If the relay closes, and the pump runs, you're almost home.....

Then all you should have to do is trip the OEM relay with the FP control wire from the NP harness....(maybe!)
If you want to check the pump for operation after the ECM times out, just pull the OPS plug and jump across the
two terminals that AREN'T for the OP dash guage.
You're just "faking" oil pressure and making sure the OPS is closing and taking control of the FP after the engine starts. One side of your OPS should be 12v keyed power.
(Usually orange wire)
Hope I didn't confuse you more........hell, sometimes I confuse myself! LOL!

If I'm steering you wrong, somebody jump in and correct me. I'm just going off memory..........old, tired memory!