[targa80]

Disclaimer: I might be wrong but from my own experience, when the engine is cold (not run for at least several hours) there is no residual fuel pressure in the fuel distributor (FD) system. The cold start valve will open and inject fuel directly into the manifold to allow the engine to start before residual pressure has developed. Once the engine is warm the cold start is disabled and the FD residual fuel pressure has stabilized. Since you state the engine runs fine when warm and starts normally when warm how does it start after resting for 30 to 45 minutes? I would suggest you verify that the cold start valve is functioning properly.