The Guardian reports that the authors falsely suggested that anti-fracking activists were to blame.
It reports that Greater Manchester police said the boy had been targeted by a different group of activists. The detail was changed without police knowledge, to protect his identity.
The Guardian reports that Rishi Shori, the chair of the commission, said: "A factual detail has been altered which should not have been. The case study mistakenly said that concerns were raised around fracking. They were actually raised around a form of environmental extremism – but it had nothing to do with fracking."
Green peer Lady Jenny Jones said: "To potentially drag the name of fracking activists through the mud like this is totally unacceptable."
The case study said activists only ceased contact with the boy when police made them the subject of an abduction notice prohibiting them from making contact with him. A breach of such a notice is a criminal offence.
While in contact with activists Aaron's school attendance declined. He continued to visit rallies and began engaging with other activists on the dark web, according to the report by the Greater Manchester Preventing Hateful Extremism and Promoting Social Cohesion Commission.
The commission found mental health and learning difficulties were a common feature in the cases they examined.
Aaron's parents became increasingly concerned and the report stated that they had made "tremendous efforts" to monitor his social media activity which allowed them to find him quickly "before any harm was inflicted".
They took help from Channel, part of the Government's anti-terrorism strategy Prevent, which aims to identify and provide support to individuals who are at risk of being drawn into terrorism.
Despite efforts from local partners they struggled to "identify a tactic which would effectively disrupt this behaviour and protect Aaron" leading to the decision to issue the abduction notice.
The report noted: "Within two hours of the notice being issued, Aaron was 'de-friended' on social media by all those individuals who had encouraged his activist behaviour.
"When Aaron tried to access his activist 'friends', he received no responses and as such, while the underlying vulnerabilities still remain and continue to be monitored, the threat in terms of his involvement in extremist activity, which had been becoming more intense, was resolved."
After the links were severed, Aaron became more settled at school. His attendance improved and he made friendships with "appropriate peers".
The report ruled that the "impact of social media in terms of 'grooming' of vulnerable and isolated individuals cannot be underestimated".
It added that Aaron's parents were extremely adept at monitoring social media, which was not usual, and that more work needed to be done locally and nationally to "increase the awareness of the impact and influence of social media".