"The lifting of name suppression enables that to happen more easily," he said.
The lifting of name suppression changed the situation at the school.
"There's the opportunity for people to move on with their lives, and that's effectively what's happened. There's still a lot of work to be done."
Reports this week that previous concerns about Parker were ignored will be investigated, but "there's no evidence available at the moment to suggest one way or the other if those allegations are correct or incorrect or somewhere in the middle."
Mr Forbes said the allegations needed to be investigated in a measured way rather than with a knee-jerk response.
Police could not be reached for an update.
Timeline of events
* In 2009 Parker was investigated by police, Child Youth and Family and the Ministry of Education which resulted in police writing to the school to warn he should not be allowed to have any more pupils stay at his home.
* Most of the charges against him related to offences since 2009.
* Last month he was arrested for sexually abusing pupils at Pamapuria School where he was teacher and deputy principal.
* On Wednesday he pleaded guilty to 49 charges of indecently assaulting boys aged 11 to 13.
* He is due to be sentenced in November.