I believe you need an operator that is in the faction the shipyard is assigned to. So you would ahve to assign the shipyard to someone in the faction, probably the leader to avoid complications. Otherwise the production will pause I believe.
no it isnt like that ... once it is started the Operator can leave the Faction and go else where. When I built my bulks I went over to the Faction Started one and queued the other and I left the ship making faction with assigning it to some one else and both ships were constructed without incident and I owned the yard