What a load of bollocks, tell them to think about what they are saying.
If the hole goes all the way through and it will have to to cord it, albeit differing diameters, and the blank is mounted with the centres in the holes it can't be anything else but centered with the holes init?
Unless their lathe is offline in which case they will all be of center anyway, sounds like they spend to much time lining up on crooked beds and no time spinning.