There is a project for declared weeds in the NT: https://www.inaturalist.org/projects/declared-weeds-of-the-northern-territory-australia
although your list obviously contains a much greater number of species. Perhaps you could create a project that collects any observations of species in your list in the NT. The URL you gave lists observations all over the world, which isn’t terribly useful I would have thought?
Added later.
This is your list applied to the NT: https://www.inaturalist.org/observations?list_id=4495987&place_id=9994
Interesting that the “Declared Weeds” project has observations of 48 species, but only 41 of the species on your list have observations. I’ll let you work out what the differences are!