The beloved lightweight distro
CRUX inspired Judd Vinet to create Arch.
Judd Vinet built Arch from scratch, and then wrote pacman in C. Historically, Arch was sometimes humorously described simply as "Linux, with a nice package manager."
https://wiki.archlinux.org/title/Arch_compared_to_other_distributions
That's pretty much all you need to know ig.
the video is more about exploring the original version and installing it and it's titled something different on YouTube, I dunno why op gave it a different caption
"When mommy Debian and Ubuntu daddy love each other so much..."
Except neither Debian nor Ubuntu is used as base for Arch.
It's more like grandma Crux and LFS had some quality time.