LOL
What do you mean with "Operating System"?
If I go to
https://www.home-assistant.io/
and click on "Installation", ignoring the custom Home Assistant hardware, the first relevant section is "DIY with Raspberry Pi" whose tutorial has a section "Install Home Assistant Operating System".
The second relevant section of the Installation page is "Install on other hardware" with a paragraph whose second sentence is "The Home Assistant Operating System allows you to install Home Assistant on these devices even if you have little to no Linux experience."
you're now pretending as if you knew what an implication is the whole time
LOL
Since you don't understand what an implication is
I understand what an implication is.
I don't understand how you don't get it
I do get what you're trying to say.
Can I suggest expressing what you're trying to communicate explicitly, using prose.