They're more likely to give you dengue than malaria, but one thing Thailand has definitely not eradicated is the likelihood of getting bitten by mosquitos with great regularity...
Aren't all mosquitos that bite humans potentially the disease-carrying ones?
In the US we've just been fairly lucky but it's not as if mosquitos carrying West Nile/Zika/Chikungunya/Eastern Equine Encephalitis aren't infecting Americans
The US has also had great success in their eradication and mitigation programs.