Amplitudes of the $\cos(2\phi)$ modulation of the $\rho^{0}$ yield in Pb$-$Pb collisions at $\sqrt{s_{\rm{NN}}}$ = 5.02 TeV in all neutron classes. The results are compared with the Xing et al. and W. Zhao et al. model predictions and, for the XnXn class, with the STAR results in Au$-$Au and U$-$U collisions at RHIC. For all the experimental data points, statistical uncertainties are represented with a bar and systematic uncertainties with a box.