Just as Diana Grant said, it is usually left to the men. The same applies here in Brazil. Because our climate is perfect for BBQ, we normally cook outside 2 or 3 times a week.
My husband loves his BBQ. It was constructed out of brick by two young guys. That is all they do, build BBQs. They are two of the busiest workers in this area. Sometimes, they also build a pizza oven onto the side. Forget Australia being the home of BBQ's I think it is Brazil.