i have a 2002 1.9 tdi since i got it its always taken quite a few turns befor the car fires up even when it had been running for a while!! i also noticed the coolant temp sensor had gone belly up as it was only reading 70 degrees! so thought it could be this!
changed the sensor and the temp starting reading right now the car will sometimes fire up straight away and sometimes take a few seconds on the key!!
now i went to show one of my mates this and at the time it was a bit dark so i had my lights switched on and it started first turn every time!!! but as soon as i turn the lights off it was back to starting after a few seconds on the key!!
i can get in the car turn the key and it will take a few seconds before it fires yet if i get in put the side/head lights on it will fire straight away!