Earlier quoted context omitted.
The main problem is how do we actually eradicate mosquito's without introducing other severely risks? For example, one of the popular techniques is releasing genetically modified mosquitoes that are sterile. The problem is we don't know what could happen if/when these modified genes spread into the wider environment It's a very serious concern, whether or not eradicating mosquitoes will introduce more severe problems
How would sterile mosquitoes transfer genetic material?
Of course that could also happen in the wild with some good 'ol cosmic rays and no human intervention.