Coming back to Kate Scottow's appeal, it's clear the original judge got it wrong on the basics. From the appeal judgement:
The 2018 Messages conveyed, over a period of two months, a variety of different defamatory or insulting messages about Ms Hayden, to the effect that she was racist, xenophobic, bullying, dishonest, and fraudulent. There was some element of repetition, but only some. Between 9 November 2018 and 1 March 2019 Ms Scottow did not persist, she desisted. In 2019, she communicated again, but the
subject-matter was different. The 2019 Messages were all on the same topic, a new one, evidently prompted by the conduct of Ms Hayden in publicising, promoting and discussing the fact of the injunction. Ms Scottow’s messages questioned and
challenged Ms Hayden’s public position in relation to that, in various different ways.
These were, on a proper analysis, at least two separate courses of conduct, engaged in at different periods of time, separated by a period of several months, and they were of different character. For these reasons I find the District Judge was wrong in law to hold that the 2018 and 2019 Messages were, or could all be considered
to be, part of a single course of “persistent” conduct. It was not lawful to prosecute Ms Scottow in August 2019 for her conduct over 9 months earlier.
This is really elementary stuff. Even a non-lawyer can see that the second batch of tweets was nothing to do with the first - and that the first batch, therefore, should have been discounted by the judge because they weren't within the legal time limit.