The absolute worst case scenario is that the culinary world becomes like the visual arts or fashion worlds; the materials and general skills are broadly available, but there shall ever be an upper end of the art from which to sneer down at the plebians, even if it only in style and fashions, and by that I mean raw styles and fashions. The clothing fashion world shows this most clearly, in that creating knockoffs of today's fashions isn't even that technically challenging, and yet there is still a "high class" fashion world for those who care to participate in.
The instinctive human drive to differentiate is what creates that, the upper class attitude is what creates that, the incidental details of how one particular field happens to signal is hardly relevant, the actual details are themselves nearly infinitely malleable.
The programming world is so many levels deep into automation of automation of automation that we've nearly forgotten the promises that one day we'd be automated out of existence. But the promises were made, and they failed, because we merely upped our expectations and advanced to the next level. Perhaps someday there won't be a "next level" for us to rise to, but that is a world so different from ours we can no longer predict what it is like.
The culinary world will adapt. There will be much moaning, must wringing of hands, and a hell of a lot of signaling words flying around about how wonderful hand crafted artisan food is (even if for some reason, every day, fewer people act to consume it), even as there is ever and always still an elite, which will probably consist of mostly the same people anyhow.