It's a slippery slope - there would undoubtedly be a creeping escalation, with more and more agencies and people given access, and the requirements to get access relaxed. Before you know it, the CIA is hoovering up everything, local police departments have unfettered access and the local environmental agency can easily request access to anything for "reasons".

Governments have shown time and again that they abuse any power they get - I wouldn't trust them with this.