I think "blockchain" (or even just a signed, immutable, public database) is mostly a solution in search of a problem, but I do think it may have an application here.
If you can hash a video when it's recorded and publish the hash with a timestamp that can't be forged, you can at least prove that this video existed at least as long ago as that stamp.
That allows you to invalidate any deepfakes produced on top of that video that have later timestamps.
It's not perfect, but it might be one weapon against this stuff.