Our hypothesis was that quality content can rank well without links for low competition queries. The experiment showed that wasn't the case.
Between August 2016 and late October 2017 our test domain didn't have any appreciable organic traffic. After adding a site-wide link with domain as anchor text from a single PBN website traffic levels increased somewhat and plateaued thereafter. An organic link surprised us all on Christmas. It was a delightfully archaic looking hub with 30 other outbound links to mainly authority resources on the subject.
Linking Domain Metrics
Linking URL Metrics
In other words, nothing happened other than slight reactions to various algorithmic updates.
The next stage of the experiment will be to add some links to the domain to see if we record any visibility increase.