Will they? People interact with these things because they are giving the brain what it wants, not what it might need. How many people would flock to a verified minimal bias news site? How many people would embrace so many hard truths and throw off their comforting lies? How many people could even admit to themselves they were being lied to and had formed their identity around those lies?
Do people want authentic now? The evidence says no.
That said, there are clearly some social networks where you absolutely want to verify authenticity. Take for example, dating websites. Fake profiles _TODAY_ are a huge problem for those sites. If you have too many fake profiles, then paying users just log off and never come back. Same for LinkedIn. How many recruiters are going to pay for access to that network if 30% of the profiles are fake?