After many other posts I have found that the cold start problem may be simple.
What I am pointing out is the common sense Tech's should already know.


Here you go

You say

well
It ran last night.........???????????
Low voltage , Fuel, spark, limp mode,..chances are there ok

Simple thought here is its cold...........
turn on the car .................listen for the fuel pump, OK
turn the motor over and right then you should know its spinning normally

no start yet ..just spinning

Its the Crank sensor plain and simple
Use ONLY OEM on this part..............$170
Reason

The specs on it are very tight for high temp and cold.
Thats right Hot and Cold
The signal to the computer HAS to be within a very tight range for it to
let the motor start.

Cold Start Fix AND Hot start too!

hope this helps
M