In the case of Charlie Gard a further court hearing is currently underway. In the absence of social media this would not have happened. It might not deliver the result Charlie's parents are looking for nevertheless it's evidence of the power garnered by social media: expert opinion from across the globe and high profile figures getting involved putting pressure on the powers that be.
Personally I think anyone who has strong new evidence re JB's case would be best getting the info out into the public domain. It could hardly be held against JB/his lawyers if a lay person goes off and does his/her own thing with any new evidence.
David1819 said he was advised by AH to keep mum as it would give the prosecution more time to prepare. Well I disagree entirely. If the evidence is strong time will not assist the prosecution.
It seems clear to me that in the US JB's case is viewed very differently eg US posters on IA forum and also the various radio discussions hosted in US. I think the reason for this is the fact that firearms are a feature of everyday life for many US citizens unlike here in the UK. Scipio is obviously the exception!
I maintain expert opinion at trial and court hearings since was very poor with regard to ballistics, blood stain analysis and pathology of gunshot wounds. These are all aspects of forensic science the US excels in due to widespread ownership of firearms and correspondingly high incidents of gun crime.
I am acquainted with a member of Judges for Justice from the US so maybe they could assist with any new evidence. Judges for Justice assisted in the case of Amanda Knox.
http://www.judgesforjustice.org/index.htm