  We report the low temperature magnetic properties of Nd$^{3+}$ pyrochlore
$\rm Nd_2ScNbO_7$. Susceptibility and magnetization show an easy-axis moment,
and heat capacity reveals a phase transition to long range order at
$T_N=371(2)$ mK with a fully recovered $\Delta S = R \ln(2)$, 53\% of it
recovered for $T>T_N$. Elastic neutron scattering shows a long-range
all-in-all-out magnetic order with low-$Q$ diffuse elastic scattering.
Inelastic neutron scattering shows a low-energy flat-band, indicating a
magnetic Hamiltonian similar to $\rm Nd_2Zr_2O_7$. Nuclear hyperfine
excitations measured by ultra-high-resolution neutron backscattering indicates
a distribution of static electronic moments below $T_N$, which may be due to
B-site disorder influencing Nd crystal electric fields. Analysis of heat
capacity data shows an unexpected $T$-linear or $T^{3/2}$ term which is
inconsistent with conventional magnon quasiparticles, but is consistent with
fractionalized spinons or gapless local spin excitations. We use legacy data to
show similar behavior in $\rm Nd_2Zr_2O_7$. Comparing local static moments also
reveals a suppression of the nuclear Schottky anomaly in temperature,
evidencing a fraction of Nd sites with nearly zero static moment, consistent
with exchange-disorder-induced random singlet formation. Taken together, these
measurements suggest an unusual fluctuating magnetic ground state which mimics
a spin-liquid -- but may not actually be one.
