FNG
The result of the flying instructors responses does not lead to a firm conclusion, although one reply suggests that PAPI/VASIs should be used if available, which would tend to put you some way in I would have thought and an Australin instructor mentions crossing the threshold at 50' which would put the pilot some way in.
Therefore I think my assertion would probably better be stated in terms that the PPL training encourages the student to land WITHIN the first third of the runway.
Taking into account some of the other comments here and some of the instructors comments about needlessly high approach speeds, a picture crystallises in my mind of execcisve floating and indecision leading to the aeroplane deciding the outcome/
Alan Bramson used to author a column (in Flyer I think) using the strapline "Who was in control, the pilot or the plane"; cruel perhaps, but in this instance perhaps healthy food for thought.
As stiknruda says, we all ultimately pay the price for these bangs, just let's be thankful that it is a financial cost only at Rochester.