How very strange.... I hadn't thought about this game at all for like 30 years, when suddenly I found (and watched) a 40 minute play-through a week ago, and now this video appears.
That film was distributed by Universal Pictures, long after which Tracey Walter would go on to star as the voice of Popocorn (sic) in the video game 50 Cent: Bulletproof which was made by Genius Games which was owned by -- Vivendi-Universal, who attempted to get an ownership stake in Ubisoft which owns Prince of Persia.