"To be left out is a sin, an absolute crime. I cannot believe the incompetence," he said.
Former New York and Boston marathon winner Allison Roe could not be reached for comment, but Mrs Rankin said she was aware Ms Roe had taken legal advice.
Mrs Rankin said the missing candidate profiles would be especially costly for herself, Ms Roe and Mr Neeson as candidates for the Waitemata District Health Board.
Mr Thomas said he was aware of only a small number of faulty candidate booklets. Just 12 people had contacted the office and had been sent new booklets. A review of existing stock found no faulty booklets.
An NZ Post spokesman, John Tulloch, said it was investigating, but believed it was a small issue.
The electoral office has also admitted giving Papakura voter Bob Stevens incorrect information about candidates standing for multiple local boards.
Mr Stevens said he rang the office to ask what would be the outcome if he voted for the Conservative Party candidate, Andrew Craig, on the Papakura Local Board, who is also standing for the Orakei and Howick Local Boards. He said he was told if Mr Craig was elected to more than one board he would be required to pick one and give up any others.
Mr Stevens said he changed to another candidate but after voting discovered local board candidates could sit on more than one board.
Mr Thomas said staff were under training when Mr Stevens called. A supervisor called him back and he was given the correct information.