I'm investigating the veracity of Gardner's & Crowley's claims. (My bias is that I was raised Mormon and personally feel misled by Joseph Smith's claims.) Below are the sources I plan to use, but I'd like to be directed toward sources that record folk magic traditions to compare what Gardner and Crowley espoused.
In no way do I mean to destroy anyone's faith, as I have great respect for the structure of Wicca and its ability to meet the spiritual needs of neo-pagans. This is more research for my own benefit.
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Asprem, Egil. “Magic Naturalized? Negotiating Science and Occult Experience in Aleister
Crowley’s Scientific Illuminism La Magie ‘naturalisée’? De La Négociation Entre Science et Expérience Occulte Dans L’illuminisme Scientifique d’Aleister Crowley.” Aries (Leiden, Netherlands) 8, no. 2 (2008): 139–165.
Bado-Fralick, Nikki. Coming to the Edge of the Circle a Wiccan Initiation Ritual. Oxford: Oxford University Press, 2005.
Chase, Christopher W. “Approaching the Sacred Grove: The Orphic Impulse in Pagan Religious Music”. ProQuest Dissertations Publishing, 2009.
Clarke, Peter, ed. Encyclopedia of New Religious Movements. Florence:
Taylor & Francis Group, 2005. Accessed October 18, 2022. ProQuest Ebook Central.
Connelly, Michael. "Out of the Broom Closet and into the Fire: Examining how Modern Witches Communicate with each Other and the World at Large." Order No. 22617600, University of Colorado at Boulder, 2019.
Crowley, Aleister The Three Magical Books of Solomon: The Greater and Lesser Keys & the
Testament of Solomon (Mockingbird Press, 2017).
“Crowley, Aleister.” Historical Dictionary of New Religious Movements, 2012.
“Gardner, Gerald Brosseau.” Historical Dictionary of New Religious Movements, 2012.
“Golden Dawn, Hermetic Order of The.” The Columbia Encyclopedia, 2018.
Heselton, Philip. Doreen Valiente: Witch (The Doreen Valiente Foundation, 2016).
Heselton, Philip. In Search of the New Forest Coven (S.l.: Fenix Flames Publishing Ltd, 2020).
Heselton, Philip. Witchfather: A Life of Gerald Gardner (Loughborough, Leicestershire: Thoth
Publications, 2012).
Murray, Margaret Alice, The Witch-Cult in Western Europe: A Study in Anthropology (United States: Wentworth Press, 2019).
Rains, Whitney Leanne. “Journey of the Goddess: Second Wave Feminism and the Evolution of American Wicca”. ProQuest Dissertations Publishing, 2013.
Starr, Martin P, and Henrik Bogdan. Aleister Crowley and Western Esotericism: An Anthology of
Critical Studies. Oxford University Press, 2012.
Vyse, Stuart A.. Believing in Magic : The Psychology of Superstition - Updated Edition. Cary: Oxford University Press, Incorporated, 2013. Accessed November 6, 2022. ProQuest Ebook Central.
A couple of thoughts:
I would strongly suggest adding "Triumph of the Moon: a History of Modern Pagan Witchcraft" by Ronald Hutton to your source list. Prof Hutton is widely considered to be the expert on the subject.
I think your question might not be hitting the right nuance. To use Gardner as an example, Wicca as he passed it on is an inarguably new creation. That said, it does contain with in it both authentic English folk magic traditions, as well as structures originating within the western esoteric tradition going back several centuries.
With Crowley and Thelema, I don't think it has ever been suggested that Thelema is supposed to be an old tradition. Crowley suggests that he codified much of it via the use of channeling, making it new. Again like Wicca, it does contain older practices, but those practices were never suggested to have originated within Thelema, rather Thelema is the beneficiary of them by virtue of being another rung on the ladder of Western Esotericism.