It sounds like it'll be someone no one knows how to contact, right? And probably someone who might be assigned to work on something like a banking cartridge. The top 3 I guess that come to my mind are:
Haruyo "LOTTY" Oguro (earliest work is 16t in 1991, so check that out for similarities to confirm if it's her, it was my first thought)
XOR (Spotlight in just 1990 and 1991, only known work of theirs with entirely original music is MegaMind which is very complex)
PSYCHEDELIC CHUNG (works where all the music would have been theirs are Ax Battler: A Legend of Golden Axe and Ikasuze! Koi no Doki Doki Penguin Land MD, they seem to prefer fast-paced music)
They're probably very bad guesses on my part, I'm OK with identifying consistent specific sounds, but with recurring composition I'm very bad. EDIT 2: Other guesses that popped into my head as obscure enough, but I dunno if there's any similar sound, are Sachio Ogawa, Keisuke Tsukahara, Chikako "TARNYA" Kamatani, Masafumi Ogata, maybe even Tokuhiko Uwabo? Basically just some people of the time you wouldn't be able to contact.
I do feel as if I've heard some music near-identical to that Mega Answer BGM before, but it could just be that I've heard so much today that I'm feeling like I've heard it all my life, haha. (EDIT 1: Apparently it was played on an episode of Pick N' Mix over on RadioSEGA, maybe I heard it then)
Maybe spotting the sound effects could help? Sometimes creators reuse sound effects across different games.
EDIT 3:
A big tell that XOR was involved with Mega Anser that my friend electricboogaloo pointed out is that there's a track from it that's reused from Alex Kidd in Shinobi World. Or was reused in Alex Kidd in Shinobi World, both products released the same year. Now my question is if there might be just the one sound creator or multiple.
Mega Anser - 02
Alex Kidd in Shinobi World - ROUND 4