She is probably doing it out of some selfish intent but I don't see that in her actions, there is noticeable sincerity and a love for music that is driving her. Hell, Kumiko explicitly asks if she loves playing. I can understand how bitter she is over her decision(part of which was Natsuki's fault).
Maybe it is better for her to let it go but I can't see her doing that without a more concrete reason. The only "pressure" I can see the band is feeling due to her request is curiosity and debate, don't see it affecting their performance yet. Didn't Kumiko and Asuka's get selected for a special part in the performance right this episode. If it was implicit or explicit that they are being affected by her I wouldn't refute. Do correct me if I'm missing something. If anything I can just see Mizore doing less than impressive but who knows if that will resolve if Nozomi gives up.
Asuka is a leader just not in name but that's the thing she is aware of that and working towards it, if she directly approached the president or more capable people, again I wouldn't refute. Capable in the sense that they would let her in officially and formally. Asuka herself said that it's not in her hands but 'personally' she is against it.
Mizore should step forward but that of course is easier said than done and probably what the show will tackle eventually. I just wanted to make clear that she has to make her move as well.
Fair weather friend is a bit extreme for Nozomi I think and you've stated enough reasons to think so.
(On mobile so quoted the whole thing)
