No, you're right old man
Most cars will pressurize the fuel system for a bit when the key is first turned on. It's done using a tacho-relay, often called an rpm relay. Rpm relays typically energize the fuel pump for a few seconds and then go back off. This priming function is built into the relay. The relay has a little timing circuit inside that turns it on for a few seconds when it first receives power (key on). The relay then goes off and waits until it receives signals from the ignition system (usually the same signal that drives the tach) to close again. Rpm relays are common on cars, both EFI or not. The entire point of all this is to kill the fuel pump in the event of an accident if and when the engine stops.
The Soup is provided the same protection but doesn't use a tacho-relay. It uses an ECU controlled Circuit Opening Relay for fuel pump control. On the 7MGTE the COR (and thus the fuel pump) are energeized as soon as the key is turned to start. The COR has two coils in it. One is connected to the start position of the key while the other is connected to the ECU. So the COR goes on the moment the key is turned to start. Then, when the ecu sees an engine RPM (NE) signal from the CPS higher than 500, it energizes the second coil to keep the fuel pump on when the key is released.
On the N/A cars it's a bit simpler. The ECU has no control of the COR. A switch in the AFM is closed by the metering plate when airflow is sensed and keeps the COR on. (N/A onwers should keep this in mind when troubleshooting a crank but no start condition).
The end result is the same result as when using a tacho-relay: The fuel pump is slaved to the engine running. It's just done in different ways. Why Toyota didn't program the ECU to "blip" the COR (to emulate an rpm relay) when the key is first turned on is beyond me but the system seems to work well as designed.
As an aside, if the coolant temp is cold ECU also runs the fuel pump at high speed during cranking to get the pressure up quickly. All this happens in the blink of an eye (assuming the engine starts) as the key is turned to start and then released back to the run position.
Lastly, if the ECU doesn't see spark occuring (IGf feedback from the ignitor) during cranking it'll shut down injection after about 10 seconds to prevent hydrolock. This is a completely different function though and doesn't involve fuel pump control.
Got Toyota: The "TTS" is the Cold Start Injector Time Switch, genercially referred to by mechanics as a Thermo Time Switch because they're a very common method of providing cold start injector control on older cars.
Yawn...probably more than you wanted to know
