  The validity of recently proposed equivalence between valence spontaneous
chiral symmetry breaking (vSChSB) and chiral polarization of low energy Dirac
spectrum (ChP) in SU(3) gauge theory, is examined for the case of twelve
mass-degenerate fundamental quark flavors. We find that the vSChSB-ChP
correspondence holds for regularized systems studied. Moreover, our results
suggest that vSChSB occurs in two qualitatively different circumstances: there
is a quark mass $m_c$ such that for $m > m_c$ the mode condensing Dirac
spectrum exhibits standard monotonically increasing density, while for $m_{ch}
< m < m_c$ the peak around zero separates from the bulk of the spectrum, with
density showing a pronounced depletion at intermediate scales. Valence chiral
symmetry restoration may occur at yet smaller masses $m < m_{ch}$, but this has
not yet been seen by overlap valence probe, leaving the $m_{ch}=0$ possibility
open. The latter option could place massless N$_f$=12 theory outside of
conformal window. Anomalous behavior of overlap Dirac spectrum for $m_{ch} < m
< m_c$ is qualitatively similar to one observed previously in zero and
few-flavor theories as an effect of thermal agitation.
