Yes, Qatar uses Air New Zealands lounges in Brisbane, Sydney and Perth, in Adelaide they either hand out a voucher or use the Virgin lounge and in Melbourne they use the Marhaba Lounge.
However if flying with VA status it's best to ask at check in for the latest lounge details. At some airports you may require a separate voucher which if you don't collect then you're out of luck.
Just because the 3rd party lounge is a oneworld lounge doesn't mean a VA Gold/Plat isn't eligible but obviously standard oneworld rules apply so if Qatar is sending to a particular oneworld carriers lounge then you have to use that.
Sometimes you get some odd things, there was a time when
Etihad was flying out of Perth and used the Qantas club as their contract lounge. The arrangement mean VA Gold/Plat got access to the Qantas club in Perth. This also happened more recently over covid when LHR T4 was shut, EY was using the T3 Qantas lounge in LHR instead (and once again VA Gold/Plat's would have been eligible).
According to the Oneworld website (which looks updated)
The lounge details on the oneworld website are supposed to be provided by each individual airline to oneworld.
Some airlines like Qatar and Qantas are terrible at doing this. It was only in the last couple of months that Qantas finally got around to updating many of their international lounges to say they'd reopened again. Qatar need to tell oneworld what 3rd party lounges they are using so they page can be updated, this was actually something they promised to do back in Sep/Oct last year.