  We prove the impossibility of recent attempts to decouple the Replica
Symmetry Breaking (RSB) picture for finite-dimensional spin glasses from the
existence of many thermodynamic (i.e., infinite-volume) pure states while
preserving another signature RSB feature --- space filling relative domain
walls between different finite-volume states. Thus revisions of the notion of
pure states cannot shield the RSB picture from the internal contradictions that
rule out its physical correctness in finite dimensions at low temperature in
large finite volume.
