Here is the song. My confusion comes in first seconds of this song (also repeated in the end):
ずつと ずつと (Zutzuto Zutzuto) → "one by one" (?) or ずっと ずっと (Zutto Zutto) → "forever forever"
So, this is what subtitle lyrics display... つ in the middle seems big one, rather than small one so first variant seems to be correct, but maybe it's just font being ambiguous like this and its actually small っ. But if you listen to what is actually sung, its totally different, something like:
つめた つめた (Tsumeta Tsumeta) → may be this 冷た "cold", maybe you know more meanings that better fit context?
So is there really this huge error in subs (and not only subs, but on all lyrics sites in the Internet I could find)? Or am I just hallucinating? My theory is – maybe they changed lyrics in the last moment before recording song, and didn't had time to change lyrics texts, so they left it as it is?