Fact-based archeology has not presented direct evidence of the Pythagorean School. The survival options of a school when tyrannized by neighboring savages, along with its survivors might logically disappear from official and chronicler views. Incommunicado teachers could wait for millennia until future humans became receptive to their teachings.
Secrecy was a necessary survival technique preserving dedicated human beings who included students, esotericians and new seekers. Schooling proceeded at another level, and it was unknown to outsiders. The surviving Pythagoreans desisted from any openness whatsoever for safety reasons. With millennia past, a book has more to say. Scroll to 1.7 Pythagoras , same link as below.
From the linked publications we are informed:
“The esoteric world view and life view has been publicized, so that anyone can gain much knowledge of the matter and consciousness aspects that was formerly strictly secret (even to initiates of lower degrees). Link
“Laurency has taken pains to clear away all symbolism.... as far as possible, to start from the concepts and terms of natural science.
“Nowadays they boast of culture and think they have reached far above barbarism. That is a great illusion, however.
Short Samples from essay:
ESOTERIC KNOWLEDGE ORDERS by Henry T. Laurency
Link : https://www.laurency.com/L3e/L3e1.pdf.
Takeaways: Pythagoras' small colony and school was utterly destroyed thousands of years ago, and the modern vicinity is viewed by arial photo, to generally see the landscape around Laurency's reference, "outside the town of Taormina in Sicily".
Perspectives found in little known hylozoics are visualized and considered on this webpage, by Bo Atkinson.