Its very permament. The US has started prosecuting people for distributing deepfake porn of real people and any sites that hosted RL fakes have stared removing them in fear of being next :
https://www.cnet.com/tech/services-and-software/first-conviction-ai-deepfake-take-it-down-act-news/
https://www.cnet.com/tech/services-and-software/first-conviction-ai-deepfake-take-it-down-act-news/