Interesting. I could see an argument for that but the full title is, Super Mario World 2: Yoshi's Island.
Its just a name, would you count Kirby Avalanche as a Kirby game?
The goal of Yoshi island is not to go from A to B anymore, but its to collect 5 Flowers, 20 Red coins and not get hit. Its more of a Collectathon than anything else. No time limit, no rush. Take your time, solve the puzzle and finish the level.
Same for Yoshi Story, and Yoshi Island DS.
And the Wario Land games are about collecting the more money possible while doing the level.