Claire must have told the police that it wasn't a political protest - hence the police being able to state that they broke the rule of six. Presumably Claire stated that to avoid similar to the JKR poster decision, but it was a bit of an own goal.
She didn't do anything of the kind. As she tells it in all three videos, she very patiently explained what their political goals are, who Standing for Women, Leeds Spinners and Leeds Resisters are, and that they were political campaigning organisations formed to oppose a change in the law (this is the official, legal definition of a political campaigning organisation which I quoted earlier in this thread).
The only reason you are allowed to currently have gatherings of more than six people are:
-weddings and funerals
-significant religious rites of passage
-support groups
-sports
-education
-the criminal justice system
-work and
-political protests
Claire phoned the police precisely because she knew only a political protest would be allowed under the rules and in order to inform them that is indeed what they were planning. So it makes zero sense to assert that she must have told them it wasn't political as this would have immediately invalidated her claim to be holding a lawful gathering.
Or that they would have read the required regulations that tells the organiser which measures to take to comply with the rules in holding a lawful gathering of more than six people (such as doing a risk assessment) and then followed those to a T but ignored the very same regulations when they first specify precisely which events are allowed as exceptions to the rule of six. It's one set of regulations. One.
The police lied not about having spoken with the organiser, but that the organiser said it wasn't a political protest.
P.S. Just for those who don't know how this works. An event like this one, where one women's rights group is holding a series of events around the country, always has two sets of organisers: one from the local group that hosts the travelling group and one from the travelling group.
The job of talking to the police or any other local persons one needs to talk to about an event falls usually to the local group, who typically identify the best place to hold the event, get any necessary permits etc.
Both sets of organisers liaise throughout (KJ refers to this in her video when she says that her phone was down at dinner the night before, when they couldn't reach her). Claire eventually informed KJ about the whole conversation she had with the police and that they had said to Claire it would be better for everyone involved if they didn't hold their protest.
The police can of course say this, but I wouldn't have let that put me off holding a protest focusing on the right of women to exercising their freedom of expression in public either. Because that would have been rather self-defeating, wouldn't it?
I hope this has now cleared up your confusion.