I think I recall there being some argument as to why this was unlikely, but I'm not able to produce it. Certainly, every female mosquito has two X chromosomes that have avoided being driven out by the Y, and choice of mate would factor into that, and so in the population of female mosquitoes I would tentatively expect there to be evolutionary pressure there...

There is obviously the question of whether it would be sufficient, in time - the figures around time-frame were surprisingly short - but that's not a solid guarantee. Even if it just produced a substantial collapse for a couple years, it might help substantially in fighting malaria, though.