Just listen to the instrumental sounds, they sound almost alike as if they’re from the same game but they aren’t.
DK64 Pufftoss theme https://youtu.be/TlAHKt-rwSo
Banjo Tooie Lord Woo Fak Fak theme https://youtu.be/nA6dIQfOy0Q
Considering those two were from the same developer plus with me playing both and knowing from experience, you're not wrong
No, they are.
Much like "Twinkle, Twinkle Little Star"
and the " ABC Song".
They are from the same maker.