Found this in the manual.
"The PCM controls the Fuel Pump Relay by switching the ground path for the coil side of the relay on and off. The
PCM turns the ground path off when the ignition switch is in the OFF position. When the ignition switch is in the ON
position, the PCM energizes the Fuel Pump. If the Crankshaft Position Sensor does not detect engine rotation, the
PCM de-energizes the relay."
Looks like Rob was right.