It would likely be deployed only near human settlements, which cover a relatively small portion of Earth's land surface area. Mosquitos would still be able to breed unabated in, say, protected land in the United States and Canada.
Not that it takes away from your concern, which is valid. It is possible that ubiquitous deployment of this device could select for more resilient phenotypes on human-observable timelines (See: https://en.wikipedia.org/wiki/Peppered_moth_evolution)