That speed limit might be more noise related. So the harm is much different, but the victims are people living nearby.
And I don't even understand your assumption - of course you should be complaining about noise levels if they are unacceptable, no matter if you just moved next to an airport or if you lived there for the past 50 years. Same as moving next to a pub or a night club - why does it matter that you just moved next to it, if the local laws governing noise levels at certain times existed for decades? Either the club/pub/airport brakes those laws or it doesn't - your personal length of habitation in the area has nothing to do with it.