To be honest "Freedom of speech" that a lot of US visitors claim that they have when I visit siyes don't seem to realise that this is a UK based website ran by a UK company and therefore they are fully within their rights to do what they like and how they like. Under UK law BF are the ones legally responsible for what is posted here not the posters and Mumsnet was almost closed due to lawsuit brought against them by somebody who was trolled.
Also a lot of sites will have the whole issue of bans and public discussion of bans, including making secondary accounts a perma bannable offence as well as having accounts deleted and claiming that you wanted to discuss this in a public forum rather than wait until office hours shows you don't want to discuss it with the BF team but to potentially flame.
I am not aware of what happened in the original discussion but if I am to believe what the OP is saying that there was the potential of naked pictures of children used for the purpose of charity collecting then under the very strict UK laws Big Finish could have had their entire website taken down for allowing to happen. It has happened several times and whole server farms have been shut while it is worked out what sites have needed taking down.
Currently in the UK there is a very big anti-charity feeling going on with large charities acting very poorly and coupled with the huge amount of interest of systematic and widespread abuse going on in the UK for over 50 years and it was right to the moderators to have done what they have done and I say well done for taking a stand.
Can we please let the forums be for the discussion of Dr Who and BF related stuff as I am sick of the real world as it is and there is plenty of other places to discuss it and only a very few for Dr Who.