voxel based mesh means that you directly create a mesh from the voxels you get from scanning, e.g. with a CT scan. Advantage is that you need not reconstruct a surface to describe your structure. Disadvantages are that you usually get a very large number of voxels (1e8 or so) and that the surface of your part is rough which may lead to spurious stress maxima and similar trouble.
Conformal meshes are where every node on one side of the interface/boundary matches with a node on the other side of the interface with very low tolerance. Thus mesh surfaces are smoother and hence stress concentration effects are less significant.
As Dr. Baeker mentioned, in voxel meshing, the interfaces are not smooth, leading to stress concentration at the sharp edges. Also, significanly more number of elements are required in a voxel mesh to generate an approximately accurate geometry, as expected.
Since conformal meshes have lesser elements and also match the boundaries/interfaces of the geometry more accurately, the computation is faster and results more accurate