Is "deterministic" really the right line to draw? On the one hand, this is "deterministic", in the sense that (given a fixed model) the same photo will produce the same depth estimation. On the other hand, even film isn't deterministic, with its random grain. But at least random grain looks random. Perhaps the issue at play is really "indexicality", where perceptible signal should be caused by the scene. But even that is fuzzy. What, qualitatively, is the difference between "touching up" and AI enhancement? It's all just algorithms that combine a starting photo with some knowledge of how humans like photos to look. Again, not even film is free of this - when chemically developing, the choice of how strong a developer to use and how long to leave it in has as much effect on the image as the exposure settings chosen by the photographer. There's nothing "deterministic" about a lab technician eyeballing your photos and tweaking the development process.