  An explanation is given for the recent observation in the plane-site Cu
nuclear quadrupole resonance (NQR) study of a heavily Zn-substituted
YBa$_2$(Cu$_{1-x}$Zn$_x$)$_4$O$_{8}$ that the Cu nuclear spin-spin relaxation
time $T_{2G}$ near the impurity Zn is longer than that away from Zn. The long
$T_{2G}$ of the Zn-neighbor Cu nuclear spins results from a distant coupling
between only a few nuclear spins near Zn, which does not indicate the absence
of local enhancement of the staggered spin susceptibility around Zn.
