Voxels are everywhere for pretty much the same reason as pixel art.
And this is pretty much it. There is a difference between whether you want your games to look as close to reality as possible, which usually doesn’t work out very well (hell, even some AAA games don’t get that any right), or whether you want them to look… well… good, as in having any coherent style.
We could use photos as the textures in our 2D games, but most of us don’t, because it most likely just looks ugly, and so we opt for simple art we can actually produce - usually vector or pixel art.
Voxels might or might not be something we aesthetically like, but at least they allow to produce some kinda decent looking 3D art without having to take years to do so.
EDIT: And yes, Minecraft. There are of course different approaches. But usually, we call those “Minecraft clones”.