I think this seems to be veering off into some specific ethical viewpoint about milk supply chains and production rather than an analogy for product vs process.
But personally I can't see how the popularity of oat and almond milk in indepenent coffee shops tells us that much about how people perceive the inner workings of chatGPT.
There is a difference between descriptive and prescriptive statements. I don’t disagree that the status quo is that many people may not care, but I believe it is reasonable to expect them to care, just like they do in other domains (e.g., the milk analogy). The information asymmetry can (and maybe should) be fought back against.
But personally I can't see how the popularity of oat and almond milk in indepenent coffee shops tells us that much about how people perceive the inner workings of chatGPT.