Interesting points. I do like that you reference fairy tales, because those are some of the most classic examples of modern fantasy magic and are rooted in cultural heritage. But while they didn't have magic systems, the magic reflected nature or the witch's personality in some way, as you said. It is organic. But everything organic is governed by the laws of science. If magic is consistent with the natural world or psychological workings it is by extension still governed by science (if indirectly). So I think I still agree with you, so long as the magic is consistent and grounded in reality.