Fuel pump runs in second key position

[Nicholas R]

I have seen cars with power and ground run from the relay compartment all the way to the pump, obviously due to a PO working around a failed inertia switch. Obviously if the OP doesn't have any PO wiring hacks that isn't the issue. I'm not arguing the purpose of function of the inertia switch.

I agree with you on this one. I actually know people that have run direct wires to the pump. In that regard, yes, if you notice something odd about the inertia switch, there may be some larger system change at work.