I think they only used the fuel pump resistor on the supercharged versions of that engine. Could be wrong. But yeah, if it has one, that is how it acts when it fails. It primes the pump on "full speed", and then switches to "half speed" through the resistor when the engine starts. If the resistor is blown, the car will only run on the residual pressure for a few seconds. You can test this by starting the car and then flooring the gas right away. If the car will keep running while its floored, and then die when its not, that's the problem.
You can work around this by finding the "fuel pump speed" relay and bend one of the pins back. If I remember right, when the relay is energized, it runs the pump at half speed. So if you bend back one of the coil pins on it and reinstall it, the pump will run at full speed all the time. This will get you moving so you can get to a dealer to get the kit to fix the resistor.