The song features very prominently in Zelda II.
I think you're misunderstanding me. I played Super Smash Bros. Melee many years ago, but haven't played it in like 10-ish years. Then last year I played Zelda II, heard the song, loved it. Then as I kept on listening to it over the past year I started thinking I'd heard an orchestrated version of it somewhere and started getting some weird déjà-vu with it, then I realized where I'd heard it before was in Melee.
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I'm understanding you, I'm just saying that it's in Zelda II a lot, so when I heard it in Smash Bros. Melee, it was very obvious where it came from. With so many songs being in Smash Bros. it's understandable that perhaps going from that to Zelda II, the link may not be as obvious.