High RoD is indeed one of the stall symptoms that we teach, and the SSR is taught as CCCF (Control Column Centrally Forward). However, that all assumes "right way up" flight which I'm sure covers almost all but the most unusual of unexpected stall events.
If you like to throw the scenery round the aircraft, the SSR offers insufficient, and in some cases inappropriate, guidance. it is easy to be climbing quite quickly whilst stalled.
Although thankfully unusual, it is also possible to stall the other aerofoils that are generally found towards the rear of the aircraft.