I think the same will happen here. People will learn not to trust audio and video for anything important. Cryptographic trust will become the only strong trust.
I think corporations and governments won't have trouble making this transition. There will be stragglers that learn the lesson the hard way, but everyone will move forward eventually.
What's more concerning is the implication for news and crime, where there inherently can't be a carefully built system of authentication. Videos recorded from phones will cease to mean anything. Maybe all media will stop being admissible in court.
We had a world like that around 150 years ago; trust was purely based on people. There was no general way to capture proof of events. We'll regress to that, but maybe the world won't stop.