I never saw the Messenger of Allah ﷺ touch any part of the House except the two Yemeni corners.
لم أر رسول الله ﷺ يمسح من البيت إلا الركنين اليمانيين.
Bukhari related it in the Hajj chapter (1609), and Muslim in the Hajj chapter (1267), both from the hadith of Layth bin Saad, from Ibn Shihab Zuhri, from Salim bin Abdullah, from his father, and he mentioned it.