And second, you express yourself, you said it. If a generator produces something, it's not _your_ expression, per definition. You may still have "constrained" it among myriad of possibilities through your prompt, it is still the production of the generator, not yours.
Example: when I play something on a Mellotron, I cannot claim that I played the flutes or violins recorded there. Those are definitely not mine. What I do play with it, what I sing above it, yes, maybe because I produce/play those, with what I understood of my previous musical education/experience.
That's, fundamentally different.