In a reference to the Crewe inquiry, he said: "It is a great tragedy and irony that a man of such character should have been subject to devastating accusations of dishonesty."
A spokesman for the commissioner said previous comments had not referred to the entire speech. "He did not suggest the entire speech were verbatim comments from the file. Other comments made by DC Bush reflected the feelings of the grieving friends and family whom he was addressing."
Des Thomas, Arthur's brother, said the family was concerned at the police stance on the case. He said Mr Bush and Mr Marshall should not have input or responsibility for the current review into the case.
The police review is currently reviewing the murder inquiry after a plea from the murdered couple's surviving daughter, Rochelle.
Former Detective Inspector Bruce Hutton was found to have planted evidence in a double murder inquiry. He died this year and police held an honour guard at his funeral, at which Deputy Commissioner Mike Bush spoke of Mr Hutton's integrity.
Deputy Commissioner Mike Bush said: "At no time did I make specific reference to the royal commission of inquiry. There was no intention to create the perception that I or NZ Police was challenging the findings of the [inquiry] or the integrity of any individual connected with the inquiry."
Mr Bush's speech notes said: "As we all know, despite the breadth and depth of Bruce's police career, in the public eye he is associated with one case above all. It is a great tragedy and irony that a man of such character should have been subject to devastating accusations of dishonesty."