Listen, to do it "nice" and to make the future workers on the car happy, please do wiring the right way. It seems especially with these cars, that ppl do not take the time to properly wire them. Running no relay is fine but as with any switch it's life is proportional to the load due to the additional heat. You do not want to mess around with this kind of thing, because in reality, and if your car NEEDS the second pump to be running, then a failure with that pump be it mechanical or electrical will cause a drop in fuel pressure, leaning out the engine and destroying it.
Why are you guys running the trigger off of the lamp? Use the same trigger hot that other FP relay uses that way if a fuse goes, you're not working on non-related circuits. Ideally, you would run another ... cough cough fusible link .... off the bat stud from the starter and wrap that nicely in the stock loom for the power feed to the relay. Bah, idk... I ripped out the GM-ness in my car long ago, so I guess you have to make due. Expandable Bat posts and a distribution block eliminate limitations of the stock setup and where you can access power.
pacecarta is saying RE: " just run both direct off the alternator as there is no drain when not on so no need for the switch supply to the relay"
:that you technically dont need an IGN source since there would be no battery drain when you leave as the switch would be off anyways... problem: if there is a short somewhere, you dont have that line Fused with a small enough rating to save anything. If you ran the switched 12V on the same Fuse as the pump, well then that fuse is so large, that the current it would pull may not be enough to save a 500mA coil. The other issue is that if for some reason either the relay or hobbs become shorts, then the pump will always run, no matter of key position.
In my diagram btw, there are fuses for each line... the stock FP switched 12V IGN signal is fused already. Adding another relay would not be a problem. If i remember correctly the 12V ign signal for the stock FP relay, is some sorta AC/Choke Fuse under the dash... But that may have been something I utilized as an additional available circuit to use since mine was a V8 regal initially.
If you do want it simpler, then just put the pump wires on your steering wheel, look at your boost gauge and then just connect them when you think the boost is right.