No it doesn't. That means they can search you for a weapon, not for ID. When they find you don't have a weapon, they can't then prosecute you for something that's not against the law (ie, walking in a public place without a ticket or ID).
It was pretty obvious anyway, but nice to have some confirmation:
http://fsf.org.uk/assets/Downloads/News/Statement-from-Lochlinn-Parker.pdf
I wouldn't tell them to get knotted though, I'd just be polite and ask what the problem is etc. Given that I want to get to the game and don't have my...