Stable Diffusion: Who owns the copyright to images made on a local PC?

If I'm reading the terms correctly they are CC0 1.0 Universal Public Domain Dedication by default:

https://stability.ai/stablediffusion-terms-of-service#:~:tex...

Obviously this could change in the future.

Side question (let's set aside for a moment the issues about the underlying data set and photoshop editing), is the generation deterministic?

I mean, given a set of prompts (text) to a specific engine, will the same set of prompts on the same engine after - say - one week produce a same image?

Or in the meantime changes on the data set or whatever will generate a different image?

Wouldn't this case apply here too, making it ineligible for copyright protection? https://www.smithsonianmag.com/smart-news/us-copyright-offic...

Note: I know there are hot debates about copyright of underlying data training data set. I’m asking about what Stable Diffusion distributors allow/don’t allow.

Google "transformative use."