Ah, it's even better! They got a small detail wrong there and that's assuming it's electrons that go back and forth at all.
In reality electrons hardly move at all, they just pass energy between themselves.
So all that flows is something quite eathereal, impossible to catch on camera except by proxy (and do you trust proxies?).
So in fact you're paying for an illusion, the illusion that you're getting something.
And your electrical devices happily power themselves off that same illusion, the illusion that they're being powered!