The former three companies were involved with that series' English dub, but because it was produced early into each company's lifespan (at least in terms of having an on screen presence), we got what we got. The dub aired on Nick Jr. at some point as well.
So I was thinking, what if the dub debuted later on (1993-1995) and used standard closing caps?
These companies both worked on Sinbad Jr. and His Magic Belt, but this was long before Hanna-Barbera adopted an animated on-screen logo, at most you got in-credit notices.
So basically, this is just if the show came out two years after and these were the logos that likely would've been used.
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https://www.youtube.com/watch?v=yi50QktaTto