If OP is anything like me, they probably played it (or saw and wanted to play it) on the GBA too, and the memory became an idea, forgetting they had actually played it because it did exist.

But also, how original can a game idea ever (now) really be – there's always going to be things you can describe it as 'like' or a mix of, even if not identical. And for such simple things, very little room for being non-identical to whatever they're like.