No, it was the property of NASA. The station was part of NASA’s deep space network.
It depicts the first few minutes of Armstrong's descent which was recorded in Australia as NASA was still scrambling for a signal....
Telescopes in remote Australia played a key role in the Apollo 11 mission....
The author of the article doesn't seem to be aware of the fact that the DSN station in Woomera and later Tidbinbilla, Australia and another near Madrid, Spain were the property of the American tax payers and operated by NASA employees.
I have to wonder if this is just ignorance on their part or are we seeing the beginnings of an attempt to revise history to make the American Apollo program more of a "multi-cultural" effort.