More semantically than some other answers, GNU software is generally on Linux computers, so if GNL was Not Linux, than it would be even more confusing for it to be on a Linux computer.
I think if you need to make the destiction, GNU+Linux is probably the best option for the whole software set and kernel included and if you want to talk about the operating system, I think naming your distribution and following it up with “a distribution of Linux” would be the most accurate, if you are in a situation where accuracy counts.
I use Arch, btw.
I agree with everything you said I only want to add that there is kinda one or two ways for the AGI problem a la Sci-Fi to happen.
By far the most straight forward way is if the military believe that it can be used as a fail safe in MAD scenarios, i.e. if they give the AI the power to launch nuclear ICBM’s a la War Games. Not very likely, but still not something we want to dismiss entirely. This is also a problem with regular AI and LLM’s.
The second, and, in my opinion, more likely scenario is if the AI is able to get a large number of people to trust it implicitly and then use seemingly unrelated benign actions from each of them to do something catastrophic.
Something you may notice about these two scenarios is that neither one of them can be “safeguarded” in the code, only by educating people on the proper usage of and posture to have when handling AI.