The problem is that a big percentage of people will not have the gut reaction that screams "there's something really unsettling about that person's face" when looking at a deepfake.
Just take a sample of your close friends or relatives. How many of them can tell 48fps video apart from 24fps? How many people leave Smooth Motion turned on on their TV's without even noticing it?
Hell, I remember people telling me that they could not tell the difference between Blu-ray and DVD when Blu-ray came out. Even in this forum, a lot of people have claimed that there's little difference between a 1080p monitor and a 4k monitor scaled at 200% (Retina). It's 2019. 1080p screens are completely unsuitable for looking at text, and yet many people can barely notice the difference.
That's what we have to worry about. The tech is good enough to weaponize right now. And I see no way out of it, except with education. Perhaps high schools should eventually include a visual and aural literacy course as part of the curriculum.