"The media" will have access to incident and accident data anyway as they can pay for it.
What will get lost is the big picture for industrial observers. As said above aviation today became so safe because of it's willingness to share lessons learned and improve based on that. Limiting information access will just prevent progress.
Who is afraid to share information? Who lobbied the EU to close the doors again? You just open the doors to speculation and wild fantasies by doing so. Now that will really scare away Joe Public.