Captain Marvel is a virtous boy magically endowed with powerful aspects of varied deities.
King Hyperion is essentially
Marvel's Superman with a vastly different mindset. More like DC's Ultraman really.
Aside from good having to beat evil, I'ld gather that if the shazam kid can't beat Ultraman (evil other world Superman) or Kindomcome's S-man, he can't beat Hyperion.
I'm not even sure if magic hurts Marvel's second rate Kryptonian. It would be a hell of a fight though, much like the one in Kingdomcome. As it is I'll lean on the knock off Clark, named Mark, pulling an undeserved S-man win.

but then i'm
slightly anti-superman fights, even S-man analogs fights, for this same reason.