This!! I feel like this shows that he does care for his teammates but it gives me this feeling that there's something between the bonds of Ayato and Hinami, it feels like she may have changed his way of thinking or somethingEver since I've started TG, I did theory crafts- and I love it XD!
I speeded through Ch.24 and Ch.25 really quickly: Hinami wanted to go and save Naki, but b/c she had such a crucial position, she was forced to stay where she is. In the next chapter, Ayato comes and saves Naki- that alone was not part of his duties. Also, Suzuya wondering where Rabbit is shows how Ayato already failed as a bodyguard. Besides the fact that Naki is "a friend" to him and Hinami (the omakes give you an idea that Ayato and Hinami sort of look out for the other more immature ghouls, lol), I feel like he did it to save Hinami some trouble.
So to make it short: When Miza said that Ayato was "discarding Big Madam" on page 1 of Ch.30, she's referring to the previous chapters in which Ayato ignored Big Madam's safety to go save his friend Naki and to do what Hinami wanted to do. I don't think that means that Ayato completely disregarded the mission to act as Big Madam's bodyguard (he will though once he finds out that Big Madam is already a corpse).
Just my two cents on this whole situation that I still don't really get
Sorry for so many replies...on mobile...




















