dependent on $\beta$. Pullers coarsening faster than pushers, a part from the system with $\beta=-3$ where particles form clusters independently on the interaction range. WP suspensions only coarsen when interactions are long-range (panel-c) with a speed dependent on $\beta$ and pullers coarsening faster than pushers, even though coarsening is much slower than in the AP case. [In panel-c, the coarsening dynamics is so slow that $\langle s \rangle < 10 $ even when $t > 1000 \tau$ (it is worth noting that we have never observed a steady state despite having run up to $6 \times 10^6$ LB-time steps, corresponding to $\sim 8700 \tau$).]{} Comparing panel-c and panel-d, we conclude that the attraction range affects aggregation, given that when the interaction is short-range (panel-d), coarsening is suppressed and $\langle s \rangle$ reaches a steady state at long $t$ for all values of $\beta$. [A more detailed analysis is given in appendix \[Appendix:xi0\_1WPrc1\_5\] for the case of the WP system with $\xi=0.1$. ]{}

Fig. \[fig:nct\_xi1\_0\] represents the mean cluster size as a function of time for suspensions where attraction competes with propulsion ($\xi=1$) of AP squirmers (interacting via long-range (panel-a) or short-range (panel-b) attraction) and of WP squirmers (interacting via long-range 