Reputation risk has often been emphasised (in my experience) within companies.
Twitter is now seeing mass exoduses, shutting out organizations on the CEO's whim, and (while I'm not sure how mainstream this is) being associated with USA right-wing politics. I thought Zucker's Cambridge Analytica scandal was the best we'd get, but this is a rapid total implosion event. In my privileged position of never liking twitter, I would call it beautiful. But most might prefer 'train-wreck'.
So yeah, we might see a point where being associated with Twitter becomes not just a waste of time but actively harmful to a company and catching journalistic/consumer flak.