Heard by me years ago "........, Bigjet 123, why are we being vectored number two to that private aircraft ahead?" (there was an aircraft using a registration on frequency)
Came the answer "Bigjet 123, be advised that "private" aircraft is a company Trident 12 miles ahead"
As for priorities on the ground, the ANO has something to say about that, as I had occasion to remind a pilot who complained when I told him to give way to an aircraft being towed.