Everything in the information is fine, except the bit about "you're not able to photograph people without their permission".

While in the context of the topic that's true, in general you are allowed to photograph people in public. It's what you do and the intent behind taking the photos that matters.

The big concern is that people will think this strict "you can never photograph without permission" take from the Home Office is accurate, and then use it to justify harassment of anyone with a camera that they don't like.