[CarlC]

Any chance you can drive the car and observe the fuel pressure? If the pressure stays high but engine stumbles/dies, it's not a pump/controller issue. Blipping the throttle in the driveway puts very little load/fuel demand on the engine.

Hot start can often be a challenge from a tuning standpoint. You may want to leave the fuel pressure gauge on the fuel rail after engine shutdown to see if the fuel pressure maintains. If not, and there are no external leaks, then either the fuel module or injectors are leaking. It's not uncommon for some aftermarket injectors to drip, hence the fuel system loosing pressure after key-off.

There are several reasons that you may not hear the pump turn on with just key-on. First, if the engine was recently shut down the fuel pressure has spiked. During engine shutdown/key-off, the injectors shut but the pump still spins due to inertia, hence the pressure spike. If the VaporWorx controller senses this high pressure, it won't turn on the pump. The other is that if the ECM goes through several key-on cycles without engine rotation it kills the fuel circuit. After a pre-set time and/or engine rotation, the fuel system will trigger.

I sent an email a few minutes ago. We can discuss some other options for testing but it's much easier on the phone.