QFE is almost certainly only a UK phenomenon nowadays - but I could be wrong ?
My airfield is some 150 nm from the place where the pressure is read, and can be significantly different, so it would seem to make sense to use QFE in the local circuit, but travelling to another airfield - and most in NZ have no control tower - it would be impossible to know what QFE to set for the different pressure exerienced there, so we all use an "Area " QNH, and apply the field height from the aerodrome plate to ensure that we fly the circuit at 1,000 agl.at any airfield. That also ensures that we all fly around a fairly vast area of NZ using the same reference, for the same reason that commercial aircraft change to 'flight levels' based on them all having 1013.2 mb set on their individual altimeters.
If remaining in the circuit at my local field I will adjust the altimeter to read field elevation, i.e. 496 ft. and fly my circuits at 1500 ft. on the altimeter, as I can expect locally based non-radio aircraft to be doing just that. This usually results in an altimeter setting a few Mbs. removed from the Area QNH that I get when I call for a radio check from a controller who is actually hundreds of miles away, I guess that the setting I apply could be called my 'airfield QNH' although that term is not actually used. If my altimeter is within a couple of hundred feet of that shown by setting the Area QNH I know at least that I don't have a gross error in the instrument.
The Americans wouldn't know what you mean by QFE, they refer to 'Altimeter setting ' which is your QNH.