It's been a while since I played the game, but this sounds right. I remember someone saying Yuji Naka had planned for it to be a mobile game and Square pushed it to be multiplatform.
Sometimes I think about Sakurai and Yuji Naka being spiritually linked by the one-button game concept and hope he breaks out of prison to direct the next Super Smash Bros
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Now I must grill my son and see if he knows this game
His rants are hilarious