Crucially, they didn't need to get rid of all the mosquitoes to do this: they just needed to drive mosquito-to-human transmission low enough for long enough.
https://en.wikipedia.org/wiki/National_Malaria_Eradication_P...
Clearly that hasn't happened.
I know here in Louisiana the local abatement program has trucks that spray synthetic pyrethroid chemicals (resmethrin, sumithrin and prallethrin) at night and uses an organophosphate (naled) from planes.
And residents are routinely urged to be aware of and eliminate standing water on their property.
We just don't use DDT anymore -- we almost wiped out our state bird with it.
Edit: I have to wonder how much housing changes also mattered. With modern air conditioning and well sealed homes it's fairly rare to have mosquitoes in the home at night.
In fact, of the ~200 mosquito species which occur in the United States, only 12 are known spread any sort of human disease [2].
[1] https://en.wikipedia.org/wiki/Anopheles
[2] https://www.cdc.gov/mosquitoes/about/mosquitoes-in-the-us.ht...