Note that there was a different law used in the Chambers cases (http://www.bailii.org/ew/cases/EWHC/QB/2012/2157.html), namely section 127 of the Communications Act 2003 (http://www.legislation.gov.uk/id/ukpga/2003/21/section/127) (which was commenced by SI 2003/1900 (http://www.legislation.gov.uk/id/uksi/2003/1900)). This is where "menacing" comes from, and notably lacks the purpose requirement of the 1988 Act.