One problem is that engines may be damaged, even if they have never been run. Poor storage can lead to corrosion, not visible until an engine is disassembled. Bad compression, for instance, especially in a steel liner/cast iron piston engine, can be caused by this corrosion. Some engines I have purchased seem to have been effected that way. Corrosion of the crank can effects bushings, ball or roller bearings, do not fair well at all, if an engine is improperly cleaned and inadequately oiled. AAC, ABC, ABN engines can be damaged by turning the engine, if it is not oiled, or lubed with fuel, or if it is flipped over cold especially when new. A common issue. Since the pinch of a well fitted P/L can create excessive friction when cold. If the pinch is worn away by cold flipping, or even turning the crank over when cold, the engine performance is likely to suffer. These engines need to be run at operating temperature for break-in. Also the excessive friction of cold flipping etc. a new engine can damage connecting rod bearings. More than one engine I've purchased had the tell tale click as the piston neared top dead center. Indicating connecting rod bearing play. A few of these engines appeared to have never been run. I suspect a previous owner did not understand the potential problems of cold flipping a new engine.
Recently I've purchased more than a few engines that in one way or another did not measure up to the advertising statement. Are they usable engines. Most are. But their performance has been compromised. Which is why, when looking for an engine to power a competition plane, I've come to the conclusion that new is best.