Benzoin's first article follows the resin from Sumatra into the European pharmacy as Friar's Balsam. Two ritual uses sit outside that route entirely, and neither passed through the Golden Dawn's correspondence tables to reach the atlas.
Across the Javanese and Malay archipelago, benzoin is kemenyan, burned at the opening of ceremonies and folded into offerings that mark the start of a rite rather than accompanying its whole length, a threshold incense rather than a background one. The word itself is close kin to the Arabic phrase for Javan frankincense that later gave English "benzoin," so the ritual name and the trade name never really separated.
Eastern Orthodox practice took the same resin in an unrelated direction. Benzoin is a principal component of the compounded incense sold specifically as Orthodox church incense, blended with other resins into a formula distinct from the Catholic thurible's frankincense-heavy mixture, so that two branches of the same liturgical tradition burn recognisably different smoke for structurally similar rites.
Both uses predate and sit apart from the Sun-and-Air attribution given to benzoin in Western ceremonial magic. Kemenyan marks a beginning in island Southeast Asia; the Orthodox censer marks continuity with an older Byzantine liturgical recipe; neither is doing what the correspondence tables describe benzoin as being for.