@Caleb
I don't completely understand your question but if you mean to read the phylosophy here's the link: https://www.gnu.org/philosophy/philosophy.html

Also that screenshot is taken from the book, "Free Software, Free Society: 3rd Edition" by Richard Stallman, which you can read for free.
You can also visit,

http://gnu.org
http://fsf.org
http://stallman.org

Where you can read more about these.

@kazriko

Yeah sure there are non GNU systems that use Linux, the kernel. Even then I'd not call them "Linux system" but call them what their programmers choose like "Alpine Linux" and "Android".

Linux, the kernel is just another piece of software in POSIX complient system like many more other important components.

The request is mainly for people who are using GNU systems with Linux, the kernel to call it "GNU/Linux" so everyone get appropriate credit.

@redstarfish Or I could just call the system I use Artix. In the long run, if I start calling it Gnu/Linux/Runit/KDEPlasma/Grub/ZFS/Mesa/Clang/Xorg/Fish/Arch/Artix to actually give everyone appropriate credit, it would get unwieldy fast. Or I could just give three groups credit by calling it Artix Gnu/Linux, but that seems unfair with the sheer number of different groups who contributed to the system I'm running now. Just calling it Artix would let people go and look themselves at what composes an Artix system.

@kazriko @redstarfish

Calling "Atrix" would be a fine choice. But the projects you mentioned are all secondary contributors.

(Side note, you mentioned some distributions such as Atrix, Arch. They are *distributions* of the GNU/Linux Operating system. They just package different component to make it a whole system distribute it)

It's expected that the project's principle contributor gets a mention. And the principle contributor is GNU Project and the system is basically GNU.
(See https://www.gnu.org/gnu/linux-and-gnu.html )

Since a long name such as GNU/X11/Apache/Linux/Tex/Perl/Python becomes absurd, at some point you'll have to set a threshold, so whatever you set it., we won't argue against it.

Different threshold level would lead to different choices of name for the system. But one name that cannot result from concern of fairness and giving credit, not for any possible threshold level, is "Linux". It can't be fair to give all the credit to one secondary contribution (Linux) while omitting the principle contribution ( GNU ).