It also seems worth noting that these gas turbine generators are meant to be the solution to another big complaint people have about datacenters, that they might drive up local power prices if they plug into the grid. Like you and the people in the article, I'm personally very sensitive to noise pollution. so to me this sounds like another argument that datacenters should connect to the grid after all. But I'm sure some people disagree and think it's worth it to save on electricity, and others disagree and think there shouldn't be datacenters near them at all.
The local government has to resolve the disagreement somehow and no solution is going to make everyone happy.
Well I'm not sure how it works there but there are requests here made before building can start. Planning permission is usually first voted on by committee and then brought to the public in the area and public forums are where people get to ask questions such as "what's the expected noise pollution". Basic stuff I thought.