With the voxel remesh modifier, you can also do CSG operations between volumes and get the remeshed results of them. Mesh is converted to volume, CSG is done and volume is converted back, basically.
Use this build from graphicall to take advantage of the newest version of the voxel remesh modifier.
But you will need to convert your noise patterns to a mesh first, in order to use them as CSG operands.
Particles work too, and in theory even Texts and curves should work as csg operands.
For example using remesh and displace mod with a voronoi texture and making a difference operation to another cube gave that:
voxelCSG.blend (558.8 KB)
Edit: Found my test with the text operands again:
textsphere.blend (677.4 KB)