Caused by rB6514bb05ea5a.
For the remeshing, we have to make sure these names are brought over
each time a mesh is made from another in the process.
This happens when reprojecting the colors in
`BKE_remesh_reproject_vertex_paint` and also again in
`BKE_mesh_nomain_to_mesh`. A bit unsure if this should happen as deep as
in `BKE_mesh_nomain_to_mesh` (if not, this can be isolated to
`voxel_remesh_exec`), but I would assume other callers of
`BKE_mesh_nomain_to_mesh` would actually benefit from it, too?
Maniphest Tasks: T103394
Differential Revision: https://developer.blender.org/D16847