I, for one, would like to help them; if only because I would help someone in dire need if I knew I was going to have major problems hitting a deadline in a couple of hours time. Just comes down to the question of would Hatate do that?
Hatate's main concerns are her survival and Aya's safety, though which order that's in I'm not sure. As for the question of how altruistic Hatate is, well, isn't she the sort, in this game, to have sympathy for people who can't reach their loved ones...?
Anyways, and again, looting the lab is a good idea, if we can get there. If all else fails, and we can't meet the deadline, we can either talk to the rabbit loan shark or ask Momiji or Satori if they'll at least watch over Aya.
> "What do you have to lose? You don't have money, so eventually the red-white'll take care of you, and this fancy place won't be enough to stop her. Plus, you're so attached to your home and your trinkets, but you wouldn't give 'em up for your pet crow? Nitori only has two people to her name, hell, she might not even have them any more, and who knows what your pet did to Nitori when she caught up to her? Why not give it another go? You have your pet to save, and you'll have revenger on that kappa, and you'll be able to get some monetary gain, too."
> If she still resists, then: "How 'bout I go ask Rin what she thinks, then?"