The only way to be sure is to connect a 1.5V battery between Long Island Sound and the waters of Florida and see if it detects it.
Given the number of boats and ships around with sacrificial anodes, I think it would have a hell of a job.
I suspect that its response is low frequency AC rather than DC too. You don't want a hammerhead with uncontrolled drift!
I guess they used that comparison in order to demonstrate the orders of magnitude involved to a lay audience. But if you have seen a hammerhead shark hunting, it searches for prey hidden in the sand, maintaining its receptors at a distance of no more than 10cm above the sea bed. These sharks know how to avoid interference.
Don't know about 1nV per meter... but
https://en.wikipedia.org/wiki/Ampullae_of_Lorenzini
"Sharks may be more sensitive to electric fields than any other animal, with a threshold of sensitivity as low as 5 nV/cm"
I think the OP's video got it wrong. They say 1nV/cm², however electric fields are expressed in V/m, not V/m². There's another video which claims that the receptors are capable of sensing 15nV of potential difference, regardless of distance.