It's also worth noting that regardless of the provenance of Galland's Aladdin, Disney's movie is basically a rip-off of the 1940 film The Thief of Baghdad, which combined the Thousand and One Nights elements with the plot of the earlier silent movie it was a remake off.
> Although it was a remake of a 1924 silent film starring Douglas Fairbanks, this film has been highly influential on later movies based on The Book of One Thousand and One Nights setting. For example, the Disney film Aladdin borrows freely from it, particularly the characters of the evil Vizier and the Sultan, both drawn with a marked similarity to the characters in The Thief of Bagdad. The villian Jafar is named after Jaffar. The thieving monkey Abu in the Disney cartoon is based on the boy played by Sabu.[12]
(from wikipedia)
Galland's Aladdin was set in China, so actually the entire middle-eastern setting comes from The Thief of Baghdad.