EBarnacle-
You said the key word "semi-structural". The stuff we extract (water, oil, gas) resides within the porosity of the host rock. If the pore fludis are supporting some of the wegith of the overburde, yes, extraction leads to subsidence...the Central Valley of California is a perfect example of widespread and dramatic (>30 feet) subsidence due to water withdrawal.
In many cases, the overburden is supported by the grains in the rock/sediment, so extraction does not produce subsidence (e.g. nearly all shale gas).