Hi there! I'm actually the author of the main article. I actually didn't reference the second article you linked in my writing (I did see it, but did not go through it as I thought it was just a basic summary. In hindsight, I wish I had gone through it - it would've saved me some headaches on derivations!)
I did reference the second article, although the score-matching connection to diffusion models was not observed by Song but instead by Ho et at. I didn't venture heavily into the score-matching aspect for the very reason you cited - Song's article on the subject is second to none!
https://yang-song.github.io/blog/2021/score/
and
https://lilianweng.github.io/posts/2021-07-11-diffusion-mode...