When comparing lipid lateral diusion between simulations and experiments, it is important to note that the PBC correction does not only aect values of diusion coecients but also qualitatively changes their trends as a function of cholesterol. This results from the fact that the size of the PBC correction, Eq. ( ), depends on membrane viscosity, which further depends on CHOL concentration. For example, Fig. would indicate that Lipid17 and CHARMM36 systematically underestimate the experimental values in systems with all sizes simulated here, while the eect of CHOL seems to be qualitatively reproduced. However, their PBC-corrected values signicantly overshoot the experiment at low CHOL concentration, and CHOL induces a more drastic slowdown in simulations, leading to values close to experimental ones at 47 mol-% CHOL. With MacRog, also the PBC-corrected values fall below the experimental ones, yet the slowdown eect of CHOL still appears stronger than in experiment. With Slipids, the CHOL-dependence seems too weak with nite system sizes, yet after accounting for PBC eects, the agreement with experiment is excellent. These results underline that little can be said about the CHOL-dependence of lateral diusion coecients without the PBC correction that requires performing simulations with multiple box sizes at dierent CHOL concentrations. Consequently, ne-tuning of interaction parameters to correctly reproduce lateral diusion coecients can require massive number of simulations.