Hardwood
Reverse cycle air conditioning does have a drying effect on timber - in fact drying timber in dehumidification kilns relies on this principle. Your additional details via email indicate that the house in question is at Wodonga in northern Victoria and will be well insulated, with air conditioning only operated intermittently. CSIRO advises that in Melbourne in an air conditioned environment timber moisture content will range from 7-10% with an average of 9%, although in an uncontrolled indoor environment it will range from 10-13%.