Have you checked the front pads?! Might have got the wrong end
That seems like the most sensible comment in the thread.
I only ever have my cars MOT tested by my local Council. They cannot do any work on a failed car, so there is no incentive to fail them on something trivial to earn some cash. They are always scrupulous in their testing. See if you have a council fleet depot that does testing near you.
Same reason I used to take my motorbike to a place that doesn’t do bikes. It could be annoying if there was a minor quick fix issue though
Now I have a trustworthy garage. It is awesome.