The rail system needs maintained rolling stock and maintained rails. The mineshaft method is overwhelmingly cheaper and more reliable, because all that must be kept working is an electric winch. There are lots and lots of disused mineshafts.
There are indeed many unused mineshafts, but a shaft would be only suitable for a small weight, maybe enough for a single house. This does not scale.
Algorithms have been created to use GIS data to automatically find potential PHES sites. There are lots of candidates. Australia, for example, has 300x more potential that it would need for a 100% renewable grid.
If not, maybe there is a box canyon you can close the end of with a dam.
In places, they have flattened a convex hilltop and used the material to make a dike.
Usually you don't need anywhere near as much storage volume as a typical hydroelectric dam reservoir holds.
The weight system only requires part of a hillside, has a pretty small environmental footprint, and there are lots and lots of hills.