The whole second hand car thing and servicing there in, is a lottery.
For example. A nightbour many years ago ahd an Escort whose engine siezed leaving the forecourt after a full service. Apprently, they hadnt put the sump plug back in nor any oil. Also, for a few years i seemed to be going to car autions with friends to buy cars, for them. Nothing other than a decent service was usually needed and all was well. I bought a car from an aution done all the usual checks etc, and it turned out to be a right pup. Cost me a small fortune.
My current car, i just drove down the road, checked out the service history (all one dealer) and paid money for car. Its not let me down since, although it does have a gearbox oil leak which is a £400+ replair, so i'll keep topping it up with oil