"Agile 1, which is already covered by HR practices inside every company"

No, it is not. Two of the creators of Agile 2 are HR professionals and one is a founders of the Agile PeopleOps Framework. It is _not_ true that HR is agile in most companies - far from it.

Also, from a survey we conducted, we discovered that most HR people have a very poor understanding of agility.

"Agile 2 seems to be irrelevant expansion of Agile 1"

Agile 1 is broken. I would reference the 10 year retro of the British Computer Society:

https://www.slideshare.net/jcasal1/20120419-agile-businessconferencepptx

I suggest reading "The Case for Agile 2": https://agile2.net/how-we-got-here/the-case-for-agile-2/