Why do you want lots of reports, surely you want fewer?
The key to answering this question is that we do not want more serious incidents and accidents with their associated reports, particularly if they were preceded with lots of similar near misses and/ or repeats of previous incidents and accidents that weren't reported. What we do want is lots of reports of the near misses, any incidents and accidents with lessons learnt to prevent the serious incidents and accidents. So overall, we would have more reports, but they would be of less serious incidents.
As complex and evolving as aviation is it is important that we constantly learn, we'll probably never get to a 'no report' situation. No reporting is not good, as there'll be less learning and improving.