Data centers in urban areas definitely see massive resistance. Seattle straight up banned any new data centers with a capacity over 20 MW, even though water is a non-issue, and we have tons of industrial land in the south of the city.
Realistically you can only hear it if you're within 30-50 feet of the data center, unless there's a separate diesel/natural gas generator.
Put a data center next to BoAT, and nobody cares.