>>283498556

In the original series, "Witches" with actual supernatural powers are suggested to be created when the looper has been doing this long enough they understand the nature of fragments and are able to manipulate them and their connections, which is why you only see Rika/Bern pulling supernatural stuff in Matsuribayashi (some of connecting fragments, like when Rika and Hanyuu meet Keiichi in the first day of class, or the Akasaka scene, the climax and the secret ending - even then outside of the secret ending which has a really odd timeline placement she's always acting alongside Hanyuu). Then you have Saikoroshi with a throw away line about Bern splitting from Rika and becoming a metaphysical entity in the upper realms by herself.

Gou/Sotsu seemed to simplify this to just them getting permanent powers from a sponsor and looping long enough (note Rika's new loops were caused by Eua too) until something happens and they awaken their true powers (note according to R07 during the final battle in that part where Rika and Satoko are hitting each other and changing backgrounds, it's them throwing each other into their desired worlds, which is why the few times Rika had an advantage in the battle they ended up in St.Lucia).

>>283500119
Beatrice is empowered by Lambda, which allowed her to manefist her imaginary magic system and creatures within the Rokkenjima catbox. Beatrice's whole magic system and everything related to it wouldn't exist outside of her imagination if it weren't for Lambda. When she gets angry she outright says Beatrice isn't really a witch.