Shaykh Ibn Taymiyyah mentions that early Muslim scholars were agreed that such a practice is disliked. He said that performing ṭawāf is better. Majmūʿ al-Fatāwā 26/248 This practice was not followed by the Prophet or any of his Companions, even though they had many opportunities to do so. The only incident was when ʿĀishah asked permission to leave Makkah after she had performed Ḥajj so she could perform an ʿUmrah as well, but that was due to her special circumstances.
Allah knows best,
Imam Mustafa Umar