Smith Point on the remote Cobourg Peninsula in Australia's Northern Territory has no terminal building, let alone a lounge, and SHU should be understood as a bush airstrip rather than anything resembling a commercial airport. This is wilderness country, part of the Garig Gunak Barlu National Park area, reached mainly by charter aircraft serving fishing and eco-tourism visitors rather than scheduled passenger flights.
The ground-side reality at a strip like this is about as far from an airport lounge as air travel gets. There is typically no permanent terminal structure at all, just a landing strip and perhaps a basic shelter, since the traffic here consists of small charter aircraft dropping off and collecting visitors headed to remote fishing camps or wilderness lodges on the peninsula. Waiting, when it happens, means standing in the open or under whatever shade is available, not sitting in a lounge chair with a drink and Wi-Fi.
Darwin International Airport, the Northern Territory's real aviation hub some distance to the southwest, is where any genuine lounge experience connected to a Cobourg Peninsula trip would actually happen. Darwin carries scheduled domestic and limited international service along with airline lounge facilities for eligible travelers, including options tied to Qantas status and premium fares, a meaningful contrast to the total absence of infrastructure at Smith Point itself. Even at Darwin, treat specific lounge offerings as something to confirm directly with the airline before you travel, since remote-region service details can shift.
If your trip includes a charter flight to Smith Point, expect a genuinely remote arrival with no facilities to speak of, pack accordingly for a wait with no shelter guaranteed, and plan your comfort and lounge time around Darwin instead, where the real airport infrastructure for this part of northern Australia actually exists and can be confirmed directly with the airline before you travel.