Qutub Minar was not named after Qutbuddin Aibak
It was originally called Mazina ( muezzin ‘ s tower ).
First use of word Qutub was recorded in 18th c by Ensign Blunt.
It was a local legend that this was Qutub Sahab ‘s Laat or staff – a Sufi saint connected to heaven with his Laat.
This and much more in my book
Some paintings and photos from 19th c