Honestly,
Mihawk, who has no respect for Krieg (a fodder) and chased him down to east blue, let him go as he enjoyed himself enough with Zoro. Not even fighting back as Krieg opened fire at him. Yet people hold it against Mihawk that he told a WB top commander and fellow swordsman he respect, that they could settle this battle at another time. Why? Because in the war, they clashed out of different motives and that fight would be without honor. A short clash in which both were casually crossing their blades without named attacks or Haki, in which Mihawk allowed himself to be distracted by Luffy and having inner dialogues, while not being overpowered by said WB top commander.
Meanwhile we have Big Mom, bloodlusted and enhanced by her homie, clashing with a casual, smiling Marco who k.o.'s her homie, grabbing Marco's neck in the process, albeit latter not caring and having a dialogue with Carrot and Wanda with a casual face and no sense of danger. With Big Mom dropping him and running away, saying that he can come back once she gathered the necessary souls to weaponize them for the fight.