All the nose wheel incidents I have personal knowledge of were all with Instructors on board of less than 500 hours total experience.
Some of the explanations of what happened were hilarious. Most of them showing that the instructor didn't have enough spare capacity to see situations develop never mind react to the student doing something unplanned and outside the box of the instructors experience.
I would love to see the breakdowns of nose gear incidents by school and instructor experience. Willing to bet 50 quid towards Help for Hero's that the schools with ex mill QFI CFI's who run thier schools with a toe up the arse of instructors who don't teach the correct way have a lower than average (if any) incidents.