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By combining neutron scattering and magnetization measurements down to 80 mK,we determine the $(H,T)$ phase diagram of the Nd$_2$(Zr$_{1-x}$Ti$_x$)$_2$O$_7$pyrochlore magnet compounds. In those samples, Zr is partially substituted byTi, hence tuning the exchange parameters and testing the robustness of thevarious phases. In all samples, the ground state remains "all in / all out",while the field induces phase transitions towards new states characterized by"2 in - 2 out" or "1 out - 3 in / 1 in - 3 out" configurations. Thesetransitions manifest as metamagnetic singularities in the magnetization vsfield measurements. Strikingly, it is found that moderate substitutionreinforces the stability of the "all in / all out" phase: the N\'eeltemperature, the metamagnetic fields along with the ordered magnetic moment arehigher in substituted samples with $x <$ 10\%.

Field-temperature phase diagram of the enigmatic Nd$_2$(Zr$_{1-x}$Ti$_x$)$_2$O$_7$ pyrochlore magnets