Car appreciation... the aesthetics, the engineering, etc

Boring car question - my 04 Citroen Berlingo 1.6 petrol cut out on Saturday while i was driving.

A month ago it did a similar thing (i had stopped the engine then but when i went to restart, it cut out immediately). I coasted to a lovely halt right outside my house, and then the car wouldn't restart a couple of times but then it was fine again. Each time the engine starts up and the revs climb as normal, but then they drop down and the car stalls straight away. There isn't any check engine light or anything.
So in my head, if it starts (and I can keep it going with my foot on the gas) it can't be fuel or spark. So it must be a vacuum leak or a sensor problem? But with no check engine light? I have a fault reader, would it store old faults that might have rectified themselves ( I'm thinking like a loose connection/ground in a sensor)?

Crank position sensor I reckon.