As one of the contributors on this post well knows, I once asked him what the 'F' in RTF stood for....
As far as I'm aware, it comes from the stone age term
Radio Telegraphie sans Fil or wireless radio telegraphy. Except that these days it's telephony rather than telegraphy.
CAP413 is aimed at everone, not just commercial pilots. Also take a look at Safety Sense Leaflet 22 freely available in LASORS.
Unfortunately, many bad habits still exist, so don't rely on listening to other people's R/T. "Err, good morning, sir, err, I'm a err, Piper PA 28 dash one sixty one romeo, err, from..........." and the like.
But equally there are those who get enormously upset if someone says 'Finals' instead of 'Final'.....