Mr Wilson said: "He has through his Hawaiian lawyers been able to establish the correctness of what he said. He's got nothing to apologise for and he is deeply disappointed at the deflection of the Inquiry's activities and true focus."
A number of experts have also left the inquiry because of concerns about its safety standards.
An independent review of the inquiry released yesterday found that members had not taken appropriate precautions to protect details about victims of child abuse. Some of their statements had been recorded on members' mobile phones and laptops, though no personal details had been made available to anyone outside of the inquiry.
The report's authors, justice reformer Kim Workman and Women's Refuge head Heather Henare, made 23 recommendations for the inquiry to get it back on track.
Mr Wilson claimed that the review showed that the allegations made against Sir Owen were unfounded and deeply destructive.
"Very substantial costs have been incurred which are therefore no longer available to the Inquiry and in that sense it was a complete waste of money and time. The hurt that has been caused to the Inquiry staff has been appalling. "
Sir Owen's funding for the inquiry remained secure, though it was not known whether the inquiry would keep his name.