There's certainly a growing chorus us voices suggesting that's in our collective interest.
This issue goes way, way beyond the topic of social media. You can apply the same types of questions to customer experience, or org design, or innovation, or ethics: who owns these things? When it comes to fundamental issues such as these, shouldn’t everyone own them, across all of the silos?
The problem with the silo system in modern corporations is, when everyone owns something, no one does.