Mercator inflates area by sec²(latitude): nothing on the equator, about double at 45°, and more than triple past 55°.
Because Munga-Thirri–Simpson Desert National Park sits at 27°S, the map draws it about 1.2× its true size. Switzerland, far higher in latitude, is inflated much more — which is exactly why, on screen, it can look the equal or the larger of the two even though the true areas above say otherwise.