One idea: killing one specious could cause some kind of
"trophic cascade" style impact. Such as, imagine that current preditor (B) of the targeted species (A) adapts to target an alternate species (C) and is a more efficient predator wiping them out. But then usual preditor of (C) species (D) has now lost is food source and dies off, as do species that depend upon it, maybe in indirect ways, like its excrement is needed to fertilize certain plant species and then other animals dependant upon that plant are impacted and so on and so on.
Note: I think these types of scenarios are unlikely and am in favor of the eradication programs (though I do think we should have smaller-scale trials not just to validate efficacy but also to understand unintended impacts). But we have observed these types of impacts. It isn't just a crazy idea. But nature also seems to me to quite adaptable.
I think that’s plausible, but you seem to have missed the point.
OP asked whether anyone was considering killing all mosquitos? Myself and others replied no, just this one species.
It’s indeed possible that there would be local ill effects, possibly even on other mosquitos. But I don’t see how it would affect mosquitos outside Aedes Aegypti’s habitat.
Also, the species is invasive outside of Africa. This increases the odds it could be safely eliminated in those areas.
I still agree there’s the possibility of great impacts. But I don’t think it could affect “all mosquitos”.
Note: I think these types of scenarios are unlikely and am in favor of the eradication programs (though I do think we should have smaller-scale trials not just to validate efficacy but also to understand unintended impacts). But we have observed these types of impacts. It isn't just a crazy idea. But nature also seems to me to quite adaptable.