And your source is..? I think my post stated that this is exactly the problem: The 'facts' you list are disputed, the discussion ongoing.
This interpretation of yours is not proven. Opponents argue that most statistics are of the causation != correlation kind and that thinking that CCTVs stop crimes is like believing in stopping piracy by suing old ladys for downloading 3 Britney Spears songs.
It also serves to make the public feel safer.