Which is exactly what Lycoming use to describe it,see my first link above.
When the factory overhauls an engine it comes back with the total hours on the log book cert, so if it has been overhauled say twice and the engine has a TBO of 2000 the log book cert may have the engine hours listed since new, say 4,000 hrs, but will have been overhauled and will have 2000 hours to run, hence it is time between overhaul to the next one, if it was "before" then technically it would already be expired on hours in the legal sense under that description?
They do three types of engine, New, rebuilt overhauled to new dimensions and zero timed, and overhauled to overhaul specs that is a continuation of hours. ONLY the factories can zero time their engines.