They go out of their way to try to contact the flying school CFI to attempt to find out why the infringement occurred and the vast majority of times the flying school advises on action that they have taken to lessen the chance of the infringemt recurring
What does the school say? That the student was correctly taught dead reckoning? I have to admit that's about all they can say.
However, Warped Factor suggests that only a student pilot bust gives rise to a contact with the school.
it seems strange that no pilots who read this thread have written of their experience, what subsequently happened or why they ended up in CAS.
I don't think anybody wants to advertise that sort of thing

I did once bust a French nuclear power station TRA - knew nothing about it at the time (back then, they didn't come up in the notams, and weren't shown correctly on the IGN charts), didn't hear for about 5-6 months and then got a letter from the CAA, saying the DGAC wants to know who the pilot was, etc. It was resolved OK, with a stiff letter from the CAA signed by some Captain with a 2mm wide fountain pen. So, my experience of the CAA remains entirely positive, but I would say the DGAC are complete a***holes for taking so long. They had the radar tracks (I saw them).