Time evolution of the parameter $A_{R\text{lim}}^{+}$ in the 10k-* clusters – the top row is for R_lim = 1 r_h, the bottom one is for R_lim = 4 r_h, see Eq. (16) for the definition. Only the models with the initial binary semi-major axis of 5 au (dashed lines) and 50 au (solid lines) are shown, averaged over all realisations of the models. The shaded area corresponds to their combined 1-sigma uncertainties. The $A_4^{+}$ data points of NGC clusters are taken from Leitinger et al. (2025) for comparison.