An actual off-air copy of the episode somebody kindly dragged out for me disagrees:
Unless whoever added this to IMDB knows something I don’t, presumably Fuller contributed something else to this episode that just came under “additional material” that was wrongly categorised with the Simpsons short for the IMDB listing.
However, quite a few writers (plus a producer) on The Tracey Ullman Show went on to write for The Simpsons when it became a full series. So an interesting look at what could have been if Fuller had also made the leap. If nothing else, “Spiceworld” would never have been made.
Kim Fuller definitely wrote for Lenny Henry (‘Live and Unleashed’), and Lenny Henry and Tracy Ullman were in Three of a Kind together with David Copperfield (I think?), so it is entirely possible that Kim Fuller wrote bits for The Simpsons as a staff writer. Amazingly.