Today, the problem solved...
The faulty one was the COOLANT TEMPERATURE SENSOR, as it was identified by Kevin Wood on the December 8, 2009...
Thanks to Kevin, since he has explained the details and described the fault almost four years ago in a topic "
3.0 mv6 hard to start when cold" as follows:
Is it turning over at a reasonable speed on the starter? YES
Does it start if you turn it over with your foot flat on the accelerator for a few seconds and then start it normally?
YES Does it idle and run Ok once it is running? Idle speed control OK? No misfires?
YES It would be worth doing a paperclip test to see if there are any codes stored. Not all of them light the EML.
NO CODE...
If the above all checks out OK I would be checking the coolant temperature sensor. perhaps the ECU is not seeing the true engine temperature so is not enriching the mixture enough when cold.
Thanks Kevin...
As a hint, there is no need to remove the plenum and the manifold.
To remove the scuttle drain is enough to reach and remove/replace the CTS. It just takes not more than 20 minutes if the engine is cold enough to touch...
I will add the pictures if I can do...