No I am not wrong...
Harassment (/həˈræsmənt/ or /ˈhærəsmənt/) covers a wide range of behaviours of an offensive nature. It is commonly understood as behaviour intended to disturb or upset, and it is characteristically repetitive. In the legal sense, it is intentional behaviour which is found threatening or disturbing.If you think that 50 posts a day are comparable to two statements by Kate then your judgement is totally skewed
.The offence is committed by sending the message. There is no requirement that any person sees the message or be offended by it
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(4) Communications which are grossly offensive, indecent, obscene or false
31. Section 127 of the Communications Act 2003 makes it an offence to send or cause to be sent through a "public electronic communications network" a message or other matter that is
"grossly offensive" or of an "indecent, obscene or menacing character". The same section also provides that it is an
offence to send or cause to be sent a false message "for the purpose of causing annoyance, inconvenience or needless anxiety to another". The defendant must be shown to have intended or be aware that the message was grossly offensive, indecent or menacing, which can be inferred from the terms of the message or from the defendant's knowledge of the likely recipient.
The offence is committed by sending the message. There is no requirement that any person sees the message or be offended by it.33.Every day many millions of communications are sent via social media and the application of section 1 of the Malicious Communications Act 1988 and section 127 of the Communications Act 2003 to such comments creates the potential that a very large number of cases could be prosecuted before the courts. Taking together, for example, Facebook, Twitter, LinkedIn and YouTube, there are likely to be hundreds of millions of communications every month.
http://www.cps.gov.uk/legal/a_to_c/communications_sent_via_social_media/Cyber stalking
Harassment can take place on the internet and through the misuse of email. This is sometimes known as 'cyberstalking'. This can include the use of social networking sites, chat rooms and other forums facilitated by technology. The internet can be used for a range of purposes relating to harassment, for example: to locate personal information about a victim;
to communicate with the victim;
as a means of surveillance of the victim;
identity theft such as subscribing the victim to services, purchasing goods and services in their name;
damaging the reputation of the victim; electronic sabotage such as spamming and sending viruses; or
tricking other internet users into harassing or threatening a victim. Further guidance can be found in Communications Offences, elsewhere in the Legal Guidance
http://www.cps.gov.uk/legal/s_to_u/stalking_and_harassment/#a05aThis sense of the word troll and its associated verb trolling are associated with Internet discourse, but have been used more widely.
Media attention in recent years has equated trolling with online harassment. For example, mass media has used troll to describe "a person who defaces Internet tribute sites with the aim of causing grief to families."[5][6]
http://en.wikipedia.org/wiki/Troll_(Internet)