While there is a 1947 Mighty Mouse theatrical animated short also titled "Aladdin's Lamp", this comic story is not an adaptation of that cartoon.
While not an actual adaptation or remake, this story incorporates elements of the 1946 Mighty Mouse theatrical animated short "Throwing the Bull", directed by the comic story's artist Connie Rasinski.
This story is a comic book adaptation of the 1947 Mighty Mouse theatrical animated short "Crying Wolf", directed by Connie Rasinski, but omitting certain elements of the cartoon for presumed brevity.
In the comic, Duke the sheepdog is drawn by Art Bartsch to look exactly like a gray-colored version of "Dimwit", Heckle and Jeckle's regular patsy. The dog in the cartoon is similarly drawn, but is colored tan.
This story is signed twice by Connie Rasinski. His full name on the splash panel of page one, and his initials "CR" on the final panel of page six.
The portions of the story where the wolf is knocked out of his Zoot suit, loses his interest in Red Riding Hood, and turns his attentions to the Three Little Pigs (omitting a detour turn in a "Little Bo Peep sheep-trapping disguise" in between) are directly lifted from the 1945 Mighty Mouse theatrical short "Mighty Mouse and the Wolf".