I studied electrical engineering...but it was explained to me that Houston highrises are engineered to displace less than the soil under the building...so the thing effectively "Floats"...
That's true more or less. They need "some" movement.
They are also anchored like 40-feet into the ground for stability.
A lot of it depends on seismic conditions.
The foundations under these things are incredible, they aren't moving anywhere.
Like in a big stadium or driving over a massive bridge, people get nervous when they feel a little movement, but it needs to move a little. It's when there is zero movement that you should be concerned.