At my field in the UK yes, in fact we get both QNH and QFE. NH is used for leaving the airfield as this gives you height above sea level. QFE is provided/used when approaching the airfield and or when doing circuits. This gives you the height above the airfield.
I should add we don’t “request” either, we simply ask for “Airfield Information” and it is provided along with other useful bits such as wind strength and direction.
As for all the morse code stuff - who knows , I have a radio and altimeter.