My understanding is that there are 2 standards for overhaul and you really need to know what you are paying for as the difference is significant.
Some overhaulers use factory new dimensions when they rebuild the engine. In effect a new engine, but the log books will reflect it's previous history.
Other overhaulers use the overhaul and repair dimensions in the engine overhaul manual.
These allow a wider tolerance and of course the job is cheaper as more parts are reused.