As far as I know, reporters have an absolute right to film in public.
I think it is important to be clear here. Reporters have no more rights to shoot video in public than you or I. That is we each have the same rights to publicly collect information on the activities of the government and that right does not come from the employment as a reporter, an affiliation with a recognized news organization or a predetermined intent to report.
And not is not absolute, for instance the police can set up restricted zones in public for various purposes, such as interviewing witnesses.