Your Australian Linaria photos show Linaria canadensis—Old Field Toadflax. Native to North America, it thrives in disturbed soils and has naturalized worldwide, becoming invasive in some regions.
In its native range, it's a pioneer species colonizing bare ground. In Australia and elsewhere, it can outcompete native flora. The Wikipedia link you provided has additional images and distribution maps.
Big Eastern Plant Database: https://www.bigeastern.com/eotp/ep_linar.htm
If you're managing this as a weed, remove before seed set. If appreciating as a wildflower, enjoy the delicate spires—but deadhead to limit spread.
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