K8y This is a wonderful question. It got me thinking since most replies just say Graphene OS airplane mode disables modems and all radios. But does anyone know if this includes the "other brain"... namely the baseband too?
I think there are two kinds of information which might be relevant. One is the GrapheneOS source code, which shows what steps the OS takes when airplane mode is enabled. The other kind of information is evidence that somebody with radio-frequency test equipment could report: if airplane mode is on, is the cellular modem running or not?.
In terms of answers, so far we have one answer from the GrapheneOS project, meaning people who have read the GrapheneOS source code.
So far it does not appear that the GrapheneOS project has hired an RF engineer, or that any concerned community member has hired an RF engineer either.
Meanwhile, there are various "two brains" claims. The people making those claims have not said they have read the GrapheneOS source code (especially not the "iPhones have two brains" people!!), and they also do not appear to have hired an RF engineer to examine the behavior of a phone running GrapheneOS.
In other words, the answer from the GrapheneOS project is based on some evidence, and the notion that maybe GrapheneOS devices in airplane mode actually run the cellular modem despite that is based on no evidence at all.
People who wish to adopt a position that has no evidence at all can of course do that... but why?
People who are concerned that there isn't a report from an RF engineer on the matter might consider hiring an RF engineer, or asking whether somebody at a nearby university is willing to look into the matter for free.
But until somebody breaks out test gear, it seems difficult to defend rejecting the only answer that is based on any evidence at all, meaning the official position of the GrapheneOS project, while re-raising a scary claim that is completely unsupported.