Heathrow Director,
To pick up on one of your earlier points, all landings below Cat 1 minima
are reported to the CAA, who then wade through them checking against the list of approved Cat II/III operators.
A friend of mine had an interesting time a few years back when the CAA reported him to the FAA for landing below minima, because they didn't check which runway at LHR he had landed on. The "in use" runway was below 550m, but the departure runway was above and ATC were quite happy for him to approach and land on that. Sadly all that the CAA picked up on was that the landing runway was below minima. Wonderful people