How does your argument work if I move the rasterization into the Markov chain? Or is your assumption that (SVG, JPG) pairs can never be encoded w/ a neural network?
"Effectful loops" or "augmented loops" are much more descriptive of what is actually going on & do not confuse the reader w/ incoherent definitions of "agency".
I prefer coherent definitions instead of corporate marketing. Whether I like the term or not is secondary. Judging by past instances of this same phenomenon I expect the word to lose all meaning as more companies start telling their customers about their "agentic" offerings.