They are not that loud from outside, at least the normal ones. We have office a block away from one, you don't really hear it over city noise.
Tho it is normal datacenter and not AI one with some turbines jerry-rigged together to power it...
Also the sounds are entirely fake and not related to actual DC
I'm basing this mostly on the segments that were done on how people in rural areas (generally quieter) were experiencing all kinds of issues from living too close to data centers.