Just a stranger from another land poking his head in, but up here in Canada we have the same feeling - who cares. By the time I finish the transmission I'll be 5 miles closer.
However, we are told by Ottawa that there is indeed specific phraseology. Should we be reporting distance based on DME we shall use the phrase "30 DME from Sumspot VOR." If, however, the distance is based from GNSS we shall use the phrase "30 miles from Sumspot VOR" (Ref TC AIM COM 3.14.8).
That clears it up without having to say GNSS. I've not ever come across a pilot who uses statue in radio transmissions, so I'm sorry to hear some of you down under may have to deal with that.
Not sure if a bit of different perspective helps.