  Real-space renormalization-group techniques for quantum systems can be
divided into two basic categories - those capable of representing correlations
following a simple boundary (or area) law, and those which are not. I discuss
the scaling of the accuracy of gapped systems in the latter case and analyze
the resultant spatial anisotropy. It is apparent that particular points in the
system, that are somehow `central' in the renormalization, have local
quantities that are much closer to the exact results in the thermodynamic limit
than the system-wide average. Numerical results from the tree-tensor network
and tensor renormalization-group approaches for the 2D transverse-field Ising
model and 3D classical Ising model, respectively, clearly demonstrate this
effect.
