I don’t know about a (NSW) Residential Tenancy Agreement giving tenants “rights” to anything other than the area covered by the Lot that they’re occupying, or that any additional clause could be incorporated in that document without the tenant’s agreement, but it’s generally (and perhaps legally) accepted that common property is for the use of residents and their guests.
Surely it wouldn’t be too hard for you to become the “guest” of your tenant or of another resident on occasions such as the recent fireworks; or did someone perhaps raise this as an issue last Tuesday?