"I'm not aware that he has any intention of saying anything beyond what he said yesterday at this time.''
The public apology was, in a way, "actually more significant'' than a direct apology, Mr Ogilvie added.
Des Thomas said it was "not right'' for Mr Bush not to apologise directly.
"I spoke to Arthur yesterday and he wants an apology.''
He questioned the sincerity of the public apology.
"To me, this is only a half-hearted apology, really. He doesn't even mention Arthur's name. And why is it now - because he's on a $600,000 job?
"It's not personal enough. Mike Bush should be sending Arthur an apology in writing.''
Des Thomas also wanted to know whether Mr Bush accepted all the Commission of Inquiry's findings into the Crewe murder investigation.
"It's no good having a commissioner of police here that's just going to ignore those findings and do nothing about police malpractice and corruption,'' he said.
"If Mike Bush wants to tidy up the police, that's where he's got to start.''
Police are undertaking a review into the Crewe murders but Mr Bush said he would not take any part in that.
Mr Bush said yesterday that the eulogy - in which he said Mr Hutton had "integrity beyond reproach'' - was raised with him during the selection interviews for commissioner.
"My response was that the eulogy was given with the best of intentions, at a private funeral, to a grieving wife, children and grandchildren. But in hindsight, I can see how others interpreted that.
"There was offence caused to others. I understand that and I actually apologise for any offence that was caused by a deputy commissioner making those comments.''
- Additional reporting: Claire Trevett of the NZ Herald