A short-lived opportunity for sure. This is the very definition of an arms race, amd I can't see "real" winning out over fake. Anything that can be checked can be preempted, so "real" is always one step behind, as far as the present is concerned.
Historically, arms races have been pretty long-lived opportunities for weapons developers.
Or a DRM chip implanted in every human.
“Warning: the person in picture doesn’t have Widevine chip installed”.
Indeed, something like that would be the only way to implement this, and I hope that everyone will agree that we should not go there. To a certain extent, the ability to lie is foundational to human civilization.
The difficult part is the "in a way that cannot be faked". If you can record it using a device you control, you can generate a fake made to appear as if it had been recorded with that device. If you do not fully control the recording device (say because it uses a secure enclave to generate signatures), you'll need some way to generate realistic inputs for fake data, but that might be as easy as photographing a high-resolution print.
If the effort to document the truthfulness of data is much higher than for unverified recordings, the majority of the evidence anyone can come up with will be of the variety that is trivially to fake for someone determined.
Tamper-proof HSMs in recording equipment might do the trick. The point is not that they can be broken. The level of sophistication has to be high enough that most bad actors will be incapable of doing that. This is why chip cards for security work.
I’m confident there will be an innovation in this space since there is clearly a very urgent need. In fact, this could be a start-up opportunity. Maybe there is relevant academic research already on which a startup idea could be built.