So many potential unexpected consequences. Most attempts at killing off a pest have resulted in all kinds of negative shifts in the environment that end up being worse, just look at the Great Leap Forward in China. There are examples worldwide of this. Ecology is just too networked and interdependent to be able to easily engineer.
There have been a lot of studies on this, and apparently it is safe to eradicate these particular mosquitoes (and given how many people are sick each years because of them, it doesn't feel like it could be worse than not eradicating them).
In any case, it's not really comparable to idiots killing birds during the GLF, since it was a completely stupid policy based on no science at all.
This always reminds me of the Star Trek Voyager episode "Year Of Hell"
Guy runs around with a ship that can destroy objects through all of time. Causing all of history to be rewritten. Trying to get his wife back after his home planet was destroyed. Manages to restore everything but his wife and goes mad trying to get that to happen.