Bain, who has been outspoken on trying to get more done, said he had a lot of respect for Coleman for listening to the evidence and changing the decision.
"I think he was not briefed properly. Ministry of Health had taken the view there was no evidence-based research and that was quite wrong. He could see what we were saying as coroners."
In a 2012 finding Bain said figures suggested as many as 55-60 babies were effectively "killed" each year through unsafe sleeping arrangements.
He said inquests into accidental suffocation of infants and Sudden Unexpected Death in Infants (SUDI) were often "chilling".
He said some co-sleeping deaths involved negligence, but many were "just a tragedy of enormous proportions".
Bain said it was great action was being taken.
"If I am just giving those findings I may as well just talk to myself."
Acting chief coroner Brandt Shortland had been in touch with Bain yesterday and was full of praise for the work done in this area.
He said it was "wonderful" that coroners' recommendations were being listened to.
Lakes District Health Board assistant communications officer Shan Tapsell said the health board already funded pepi-pods and gave them to families that met the criteria.
She said the pepi-pod programme was for babies with weakened breathing responses due to exposure to smoking, especially in pregnancy; babies born before 37 weeks and babies weighing less than 2500g at birth.
As at the end of June, 511 pepi-pods had been distributed to families of new babies, over a three-year period.
"The pepi-pods are one part of Lakes DHB's commitment to SUDI prevention programmes, which also includes: safe-sleeping messages, work to improve breastfeeding rates and stop smoking in pregnancy."
Tapsell said mothers with babies who received a pepi-pod were contacted first in the weeks after the birth, then after two months, to see whether the pod was being used and if the wider family had been spoken to about safe sleeping.