Since 2017, Louden County housing prices have gone up 59% according to Zillow. To put that in perspective, NYC is up 24%, LA up 56%, Chicago up 28%, SF up 7%, DC up 10%, Boston up 29%, Atlanta up 48%.
Ashburn, which is where the majority of the data centers are in Louden County, is up 56% so even when you look at a smaller area around the data centers, it doesn't seem to have harmed property values.
Even if you look at mansions on an acre of land a couple houses down from a data center, it looks like they've gone up in value at least as fast the average for both Louden County or Ashburn (https://www.zillow.com/homedetails/44335-Oldetowne-Pl-Ashbur... this place I randomly looked up is up around 70% according to Zillow).
It doesn't look like it's impacted housing prices negatively. That doesn't mean it doesn't impact how some people care about their homes. Some people might prefer to pay higher taxes than look at a data center across the street. But it isn't economically hurting residents. Their property taxes are very low, they have the highest median income in the US, and their property values are going up faster than most.