Sorry your wrong.
How does the pump get the power to run the pump? It gets it from the ignition. But to complete the circuit, the ignition circuit must have a crank signal. No crank signal, no relay powered up.
Btw, iam a retired diagnostic engineer.
And i'm a qualified a mechanic but here's a little video to prove a point
[ame]https://youtu.be/NTHIHCSQHSE[/ame]