This is Fidget from Dust: An Elysian Tail

Even if it had more open paths, it wouldn't be a Metrovania. The term has lost all meaning. Basically, the term people are looking for is 2D Action/Platformers. Which all the games (and Metrovanias) fall under. But that term doesn't roll off the tongue. So people started using Metrovania to refer to all 2D Action/Platformers. And only purists know the difference.

Dust is closest to a game like Muramasa. Which Muramasa is based on games like Legend of Kage and Odin Sphere. All of these are 2D Action/Platformers. But none of them are Metrovanias.

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I've played both Super Metroid and Symphony of the Night dipshit, they're both like that
The only "exploration" is going left instead of right to get a shitty sword or missile