Mmmm,
I suppose at the end of the day. Apart from the sun setting. You were on the public highway with a dodgy rear tyre. So bang to rights officer!!

But,.....................
I would have thought that at most, a HORT/1( produce your documents etc.) and some sort of Vehicle defect rectification notice would have been in order.
That way, you as the motorist get a ticking off and a chance to rectify it as soon as possible or at least within a set period of time. And the police get the message across and hopefully the traffic message sets in with the motorist. I suppose a bit of education.
But thats the way the cookie crumbles.
DC.