[Schulisco]

As mentioned I'm not into the 3.2, but I did some reading because of personal interest. It might be a problem of the residual pressure of the fuel system. I would also check all fuel pressures of the car as given by Porsche, as DIANA already recommended. See the workshop manual for the values.

The 3.2 Carrera has the same fuel delivery system as the SC's. And the fuel pump has also a check valve like the SCs. On my SC somebody removed the ball and the spring from that valve - don't know why. This leads to an insufficient filling of the fuel lines, especially when the car was sitting for a while. And it takes time to refill all fuel lines and recreating the normal fuel pressure and entire filling of the fuel lines. This could be the reason on your 1st time start problem, I had the slightly same problem (near many others...another story...). Either the valve hangs or the ball from inside the valve is missing also.
The other thing to check is the fuel accumulator next to the fuel filter. This keeps the fuel pressure on to the residual pressure of 2,5bar for at least 1/2 hour to prevent hot start issues. But this won't work perfectly if the check valve behind the fuel pump is missing...

Thomas