The 2013 A17.1-2.1.4, states when required by the Bldg code, hoistways shall be provided with means to prevent the accumulation of smoke and gases. Where pressurization is provided, it shall be designed, so as no to impede elevator operation. That being said I would not take it upon myself to say weather they should be open or closed. some Dampers are designed to pressure the space, some are designed to allow for smoke to egress.Local and State codes vary the code year which the elevator was installed under also varies. Maybe the Inspector was correct, but before I changed anything I would make him cite the code number and write it as a violation, so if you change you have something in writing.
