The only place I came across it specifically reported Cat II only available - as I recall it was because the terrain profile just before the threshold played havoc with the radalt.
Interestingly, Manchester 05L only allows Cat 1 and Cat3. Cat 2 is not allowed because the valley of the River Bolin is below the point where the rad alt would normally read 100ft and the rapid fluctuations of the terrain profile make an accurate assessment of radio height impossible.
By the time you were approaching typical Cat 3 DHs of 50ft, you were over the threshold and therefore the terrain (runway) was nice and flat again.