No one objects to Nelson being clever and conning the Prince, as well as ignoring Parker's signal. The objection is that the British version of the story is that they were winning the battle, when the con happened.
Compare the English Wiki page: The Battle of Copenhagen of 1801 (Danish: Slaget på Reden) was a naval battle in which a British fleet fought and defeated a smaller force of the Dano-Norwegian Navy anchored near Copenhagen on 2 April 1801.
With the Danish Wiki page: Slaget på Reden var et søslag, der blev udkæmpet den 2. april 1801 mellem en britisk flåde under kommando af admiral Sir Hyde Parker og en dansk-norsk flåde under kommando af Olfert Fischer forankret ud for København. Selve angrebet blev anført af viceadmiral Horatio Nelson, som er gået over i historien for at have afvist Parkers ordre om at trække sig tilbage under slaget. I stedet ødelagde Nelson en stor del af den danske flåde,
In the Danish version it says that Slaget på Reden was a naval battle between a British fleet and a Danish-Norwegian fleet. It does say Nelson destroyed a large part of the Danish fleet - but destroyed is not the same as defeated.