CASA considers UAVs to be no different from aircraft when it comes to flying over a national park or state reserve. Any height above maximum tree height is considered an "easement" to national park rules. Park rangers have no authority even 1 metre outside the park and have no authority over navigable airspace, and very little, if any authority at less than maximum tree height, except if you are disturbing wildlife at lower than that altitude ie flying close to ducks on a lake.
"In", means from the parkland. Separate "in" from"over. National park landspace does not translate to airspace. As far as CASA are concerned. a UAV is no different to a manned aircraft in that respect (helicopters not included). Parks cannot control aircraft from flying over their land. Only CASA can do that.
Some examples
See this link
What are Australia's drone laws? | Remote Aviation Australia
Also:

Also
From the same site
Introduction to Australia’s drone laws
"Whether you agree or not with the legislation, drones (not matter the size or use) are considered as “aircraft” as per Australia’s Civil Aviation Act. The Act defines aircraft as “any machine or craft that can derive support in the atmosphere from the reactions of the air, other than the reactions of the air against the earth’s surface”. Thus, all drones are governed by the regulations set out by CASA (the Civil Aviation Safety Authority). Most of the legislation that affects drones is provided in Civil Aviation Safety Regulation (CASR) Part 101. The major rules are":
If you want further details, spend a few days researching the actual aviation laws, as I did. You will find a drone flying aviation lawyer who goes into great depths regarding air easements, park limits of authority, "friendly neighbour" policies, successful prosecutions in Australia (0 as of a year ago) against drone pilots etc.
It is very time-consuming but worth it. Sorry, I don't have that link anymore as I did it over a year ago and don't need it now anyway as I fly as second cameraman to a fully licenced drone pilot/helicopter pilot who also runs an aerial media company specialising in state and federal government promotion videos and deals with CASA almost every week. In their own words (not a website) "Info on park, local government etc websites is often written by people who don't know the rules to deter recreational flyers from flying over their land, but have no basis in aviation law." The same goes for council sports grounds. They can stop you from taking off from their land, but can't stop you flying over their land (minimum tree height a possible exception). They have authority over the land only, not the navigable airways above it ie nothing above maximum tree height. Most of these websites just copy and paste from others without research.
NB
Thats exactly what CASA, as well as the UKs CAA and many others did. They copied from the US FAA, added a bit of local stuff and websited it.
As a final example of deliberate or otherwise misinformation, Monash city council has on their website a statement that drones can take off from their parks, but not fly higher than 65 metres. This is not the case. Only CASA can set drone height limits, and that is 120 metres in controlled airspace (basically cities but can include other areas). Check the CASA opensky app before you fly anywhere.