Yes and eliminating two specific Aedes species from where they are invasive is by far the best plan of action.

Claiming that mass extinction of all mosquitoes from the ecosystem is a bullet the environment can take is another matter.

Agree completely with your first point.

To your second point: eliminating all blood-feeding mosquitoes is the most radical proposal I've ever encountered, and this is a small subset of all mosquitoes (itself a small subset of Culicidae). I've never seen it compellingly demonstrated that these mosquitoes have an irreplacable role in any ecosystem, but there's much we don't grasp that an incremental and cautious approach seems wise.

Humans are invasive in, arguably, all of the world.

Just about, yeah.