Typically fuel injected cars should not need any throttle pressure to start. When soemthing is not right, pressingthe throttle a bit may be a band aid and get you going though.
The fuel delivery sounds like your trouble. Along the lines of what Jeff is talking about. I would suspect the fuel pressure is dropping off when the engine is off and it takes a bit of time for the pressure to rise again once you start cranking.
The pressure regulator, fuel filter, fuel pump pickup are all suspects here.
A fuel pressure gauge will tell the story. If you connect it and run the car you will see a pressure that should stay at least for a while once you turn the key off. If you have the gauge connected as you start, you can see how long it takes for the pressure to rise and see if the car starts after the pressure gets up a bit (same timing as the 2 to 3 seconds) I've seen regulators go bad internally and let fuel pass into the vacume line into the intake. The car would run rich, and would be hard to start. GM product, but most rely on the same ideas, just different looks.
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