I just had a strange thought.
Take a look at the British Bullseye. Darts is a significant part of the game, because it controls so much of what goes on.
Don’t get me wrong; I still think Whac-A-Mole is an idea that rivals qualifying for the Jeopardy Tournament of Champions through Wheel of Fortune or giving away lavish game show prizes to ten year olds. But if they managed to do it just so, you could probably do something with skeeball as a mechanic in a game show.
Not really saying you could have a hit on your hands, but it’s not totally implausible.