Cracks in the voice are so visceral. One I love is in the Rolling Stone's Gimme Shelter, Merry Clayton is just about screaming and her voice cracks and they kept the band's cheering reaction to it on the record [1]. Truly a case of the subject matter trying to break out of the medium.
Related is that a lot of cultures embrace intentional imperfections in art for spiritual reasons, as it conveys authenticity and humility in the face of perfection. E.g. Persian flaw [2].
[1] https://en.wikipedia.org/wiki/Gimme_Shelter
[2] https://en.wikipedia.org/wiki/Persian_carpet#cite_note-68
One of my favorites: https://youtu.be/Jm-FH82lVbE?si=MoD1qaMMtCpRsJwS
https://www.youtube.com/watch?v=aVevvbFNKiY
At about 1:30, just after the "I was very nervous" line, Haley pushes her voice until it breaks. I found it a lovely little grace note, emphasizing the lyric.
I wouldn't call it a voice break, more an intentional melodic variation by singing a perfect fourth higher than the expected note in falsetto. But I agree: it sounds marvelous.