these words had meaning long before "model land" became a thing. overloading them is just confusing for everyone.
On top of that, in many cases a company/group/whoever can't even reproduce the model themselves. There are lots of sources of non-determinism even if folks are doing things in a very buttoned up manner. And, when you are training on trillions of tokens, you are likely training on some awful sounding stuff - "Facebook is trained llama 4 on nazi propaganda!" is not what they want to see published.
How about just being thankful?
...and sure, compiling gcc is nondeterministic too, but i can still inspect the complete source from where it comes because it is open source, which means that all of the source materials are available for inspection.
the practice of science itself would be far stronger if it took more pages from open source software culture.
You can update the weights of the model, continue to train, whatever. Nobody is stopping you.