That doesn't help all the plants they displace or drive extinct altogether. That's why they're called invasive, not because they're incapable of forming new ecological relationships.
The displacement is only a bad thing if there are no interactions between the native ecology and the new one.
If there are interactions, then the ecologies start merging and adapting. The native species can still thrive because there is participation among both old and new.
So even by your standard of weapons grade copium, it's always bad. Invasive species outcompete native ones by definition so they can't thrive.
Seriously, go look at the iceplant covering California's coasts [1]. Or the himalayan blackberry all over the pacific north west [2]. Or the kudzu vine all over the south east US [3]. They smother native competitors and eliminate them everywhere they go, turning once diverse ecosystems into monocultures.
The ecosystems don't adapt, they get wiped clean of any native plants whose niche overlaps even slightly with the invader. If the native species could adapt, the introduced species wouldn't be called "invasive" but "naturalized"
Something interesting about your three pictures, there's very little concrete or asphalt in them, just poor old plants that we did not spend enough effort protecting from other plants. Myth of wilderness?
A typical knotweed patch that I see here in Scotland is in a disturbed urban area, for example by the railway. While it might be displacing a native species that takes over ruderal sites, e.g. blackberry or gorse, it still performs its functions of urban greenery - makes habitat for birds, cleans up the city air a bit, covers up trash on the ground.
Its roots are very strong and go down 3 meters into the ground, known to destroy foundations of houses, under ground plumbing and wires and other infrastructure.
Some of the roots I've dug out had about 8cm diameter and they were tough stuff.
No you don't want this stuff even in urban wasteland.
Or growing in railroad ballast where it's can cause a very expensive clean up operation or destabilize the foundation of the railroad.
