I enjoy this plot of a parody and a humorous interpretation of the One Thousand and One Nights: Aladdin and the Magic Lamp.

I don't know why you think it is a parody. The book that inspires this version is a French edition of the 1001 nights from the beginning of the XX^th century, mostly a translation of various Arabic versions from the XIX^th century. This is not at all a parody.
The Disney version has removed a lot of details that would not fit well today.