You're correct that the dryer is on a larger circuit, though.
You think that this is "just fine" because you've never experienced the glory that is a 3kW kettle!
1.5kW must be absolute agony
I've never seen a dedicated circuit for dryers in Australia, and I've lived in probably a dozen different properties. Ovens, aircon, hot water, bathroom heat lamps often have dedicated circuits, though.