Lavea, then a community adviser in Papatoetoe, was sentenced to six months' home detention and ordered to pay $5000 for reparation for emotional harm.
When contacted by the Herald on Sunday, Lavea yesterday initially confirmed he was standing in the elections.
But when asked if he was the same person convicted of stealing a dead child's identity he said: "Ah no, no I don't think so. What are you talking about?" He then hung up.
A man answering the phone in later calls said he was not Lavea.
Auckland Future is running 40 candidates across the city including former rugby league legend Graham Lowe.
Wood said the group knew of Lavea's crime and accepted him anyway.
Wood said Lavea declared his conviction and a selection panel agreed he had reformed and was worthy of nomination.
"It was considered that given the number of years that have moved on and the extent to which he has been very heavily engaged in the community, and the scale of the offending 20 years ago, we weighed up and decided that that was behind him."
Wood said Lavea was heavily involved with Auckland's Pacific Island community and had made a huge contribution to that community.