I believe the replay to that is something like, "Who are you calling inferior. No one would follow a stoic carrier like you."
Of course than Kaga's fairies will get vocal and Akagi would try to combine with her food or fairies.
Than it just turns in to big brawl while I suppose Ashigara (maybe) waits for them all to tie out then declare herself leader. (don't know who would credibly fit as traitorous second in command....or leader, in this instance)