What does that very specific example have to do with broad censorship as a phenomenon in media? Like how often do you think TV networks and streaming services are removing depictions of Mohammed in the stuff they make or license?

removing "fly me to the moon" from the end of NGE has nothing to do with Islam.

the Islamic prohibition on the Prophet isn't new, is something they take seriously and always have, and is not happening at the whim of the studio execs.