Unless I misunderstand your meaning, I guess in a certain sense you could frame it in that way, where you have a rotational drift which provides energy to an ax

Unless I misunderstand your meaning, I guess in a certain sense you could frame it in that way, where you have a rotational drift which provides energy to an axially-propagating wave. I'm not well-versed in black hole plasma physics. It is worth noting that anomalous cross-field transport is a problem that exists in lots of plasmas, including fusion plasmas like tokamaks and probably also in astrophysical plasmas.