Cities do not sink because of the weight of new buildings. The ground does subside (sink) sometimes because the ground water is pumped to a low level for various uses such as refineries and other manufacturing. Some soils compact when they dry out. The Houston area is an example of this.
Airplane in museum in Mobile, up about 20 feet on display, floated away!
Is that why Mt Belview (ms?) had the collapse that time?
Sinking is sinking, no matter how it occurs. imo.