At the moment, the ab initio DW methodology has been combined with three most popular quasiclassical trajectory simulation protocols: TSH (including Tully's fewest switches method 115,116,120 , Landau-Zenner method , and machine-learning enhanced Landau-Zenner method ), Ehrenfest 150 , and SQC/MM in the present work. In this context, two comments are in order. For the molecular systems with a single excited electronic state, the DW methodology results in the computational protocol which is essentially the same for all three (semi)classical methods. Hence, the differences in the predictions of the spectroscopic signals can be directly pinned down to the differences in the approximations used in a specific dynamical method. For molecular systems with several bright excited electronic states, TA PP and other nonlinear spectroscopic signals will have contributions from electronic coherences. In this latter case, different variants of the mapping approach may have advantages over the TSH and Ehrenfest counterparts . This latter argument may broaden the applicability of spectroscopic DW simulations performed with SQC/MM and other variants of the mapping approach.