  We study the stability of the antiferromagnetic all-in--all-out state
observed in dipolar-octupolar pyrochlores that have neodymium as the magnetic
species. Different types of disorder are considered, either affecting the
immediate environment of the Nd$^{3+}$ ion, or substituting it with a
non-magnetic ion. Starting from the well studied Nd$_2$Zr$_2$O$_7$ compound, Ti
substitution on the Zr site and dilution on the Nd magnetic site with La
substitution are investigated. The recently discovered entropy stabilized
compound NdMox, which exhibits a high degree of disorder on the non magnetic
site is also studied. Using a range of experimental techniques, especially very
low-temperature magnetization and neutron scattering, we show that the
all-in--all-out state is very robust and withstands substitutional disorder up
to large rates. From these measurements, we estimate the Hamiltonian parameters
and discuss their evolution in the framework of the phase diagram of
dipolar-octupolar pyrochlore magnets.
