Aisha did consider herself from amongthe Ahl Al-Bayt

35 – (1995) وحدثنا زهير بن حرب وإسحاق بن إبراهيم. كلاهما عن جرير. قال زهير: حدثنا جرير عن منصور، عن إبراهيم. قال:
قلت للأسود: هل سألت أم المؤمنين عما يكره أن ينتبذ فيه؟ قال: نعم. قلت: يا أم المؤمنين! أخبريني عما نهى عنه رسول الله صلى الله عليه وسلم أن ينتبذ فيه. قالت: نهانا، أهل البيت، أن ننتبذ في الدباء والمزفت…Doc=1&Rec=4760

Ibrahim reported: I said to Aswad if he had asked the Mother of the Believers (in which utensils) he (the Holy Prophet) disapproved the preparation of Nabidh. He (Aswad) said: Yes. I said: Mother of the Believers, inform me about the utensils in which) Allah’s Apostle forbade to prepare Nabidh. She (Hadrat ‘A’isha) said: He forbade us, the members of his family [Ahlal Bayt], to prepare Nabidh in gourd, or varnished jar. I said to him: Do you remember green pitcher, and pitcher? He said: I narrated to you what I have heard; should I narrate to you which I did not hear? [Sahih Muslim… ber=4918#4918]

Note- Ahlal Bayt in bracket is by me as a transliteration of what is present in arabic source.  (by brother al-sunnah)