She has certainly done collab performances in the past, but for some reason I never have the image that Ayu really is someone who likes collaborating with other artists. I do not know why, its just the image I have.
She has done collabs when it was on her own show or when she was using it for promotion like on SmapSmap, but I do not recall her having done a collaboration just for the heck of it. (which is what the majority of this years FNS set list was and last years too)