I would say the Hermetic Tradition is Universal, and as old as man. Symbology is its language, and alchemy is its application.
I would also draw a distinction between 'original' alchemy, which is a 'spiritual science' and most probably a component of every religious system, and Renaissance alchemy which is what happens when the 'materialists', for the want of a better term, got hold of it, which is what you're commenting on, I think.
Which is pretty well where Taosim (Daoism) enters the picture, I suspect brought into Europe with the Marco Polo travels and trade, certainly along the Silk Road. No doubt later practitioners from the Middle Ages into the Renaissance (what I believe you are calling the "materialists") refined or streamlined the process and interjected a western understanding of the underlying mechanics...I sometimes see alchemical material paralleled with Culpepper's Herbal, for instance, which is rich with astrological assumptions of the period (late in the period anyway, for Culpepper). There are hints in this direction even today throughout the Old Farmer's Almanac, published every year since Ben Franklin's time in America.
The error was in assuming the process of spiritual alchemy can be replicated physically, so the hunt for the 'Philosopher's Stone' as some kind of catalyst to turn lead into gold ...
Ah! But the alchemist had to be pure of heart, or the process wouldn't work! I have no doubt the various schools of thought had their own take on things, their own "spin" as it were. Some elements even crossed lines and informed other schools, partly the reason we know they were around and at least had some success...although how much is left open to discussion as they certainly didn't make front page news or any sizeable coverage in traditional history books. it likely served the king well not to let his subjects or rivals to know quite what he was up to, so those alchemists in his service did so in secrecy.
I would say Hermeticism and its methodology is alive and well ... but 'authentic' Hermeticism never courted the public gaze.
I think it is fair to say that Hermeticism also informed medicine, Hippocrates and all that, and there it probably reached its greatest acceptance. Clearly this is prior to the advent of "modern" medicine, when they were still doing blood-letting with leaches and that sort of thing, but even then it allowed about a thousand years of praxis in the west, and thereby provided a foundation from which modern science could spring forth.
So, science is indeed a religion. (I've thought this way for many years now) Where science gains its modern credibility is by shifting its focus from the "why?" to the "how?" and ostensibly using Greek logic as it's base method of inquiry. So very philosophical in its approach, but nevertheless with strong religious roots and background.