Not sure what privatisation is going to fix? A private operator is going to be far more risk averse = >number of Prob30s and consequential costs.
Complaining about un-forecast conditions? A private operator gets the same input data - how different will their modeling be?
You can also be sure if a private operator creates a 'better' forecast than the BOM, they'll soon wind it back to be no less conservative than the BOM one.