I can vouch for the CPS being at fault for the car having weird stalling/no start issues. I changed mine when it wouldn't start after the initial cranking procedure. Mine turned out to be the CAMshaft position sensor, and not the more often at fault CRANKshaft position sensor.

Both easy to change, as long as you have the tools to take off the sensors themselves. I will mention I first bought a cheapo sensor off Ebay, which didn't work. Rudy (RCompart) supplied me with a BOSCH original model when I went to him seeking help with it since I didn't know where else to turn lol.