And what was the definition of 'non-towered aerodrome' for the purposes of the 2010 AIP you quoted?
Good question.
Non-towered Aerodrome: An aerodrome at which air traffic control is not operating
Aerodrome: A defined area of land or water (including any buildings, installations and equipment) intended to be used either wholly or in part for the arrival, departure and movement of aircraft.
It would be difficult to argue that an area is either not defined or not intended to be used by aircraft unless it appears on a chart. Charts generally show the location of an airfield, rather than defining an area.
My unqualified opinion: Marking a runway (white tyres etc.) is sufficient to define an area of land intended to be used by aircraft. Probably, erecting a windsock and saying I am going to use the back paddock to takeoff and land also defines an area of land intended to be used by aircraft.
If the argument is that it isn't an aerodrome if it's not on a chart, does that have implications for every other rule about operations at non-towered aerodromes?