  A theory for treating the unconventional non-Fermi liquid temperature
dependence of physical quantities, such as the resistivity, in the Pr-based
two-channel Anderson impurities system is developed. It is shown that their
temperature dependences are essentially the same as those in the pure lattice
system except for the case of extremely low concentration of Pr ions that is
difficult to realize by a controlled experiments. This result is consistent
with recent observations in diluted Pr-1-2-20 system
Y$_{1-x}$Pr$_x$Ir$_2$Zn$_{20}$ ($x=0.024,\,0.044,\,0.085,$ and $0.44$) reported
in Yamane $et\ al$. Phys. Rev. Lett. ${\bf 121}$, 077206 (2018), and is quite
different from that in the case of single-channel Anderson impurities system in
which the crossover between behaviors of the local Fermi liquid and heavy Fermi
liquid occurs at around moderate concentration of impurities as observed in
Ce-based heavy fermion system La$_{1-x}$Ce$_x$Cu$_6$.
