I'm sorry what? You think it's nonsense that the lit lightbulb had more power going through it than the person touching the socket?

surely the light was dissipating more power, yes, but this was offered as a potential explanation for the fact that the person getting shocked only got a mild shock, a fact to which it has no causal connection whatsoever

It's not an explanation but it's directly connected to the explanation.

Calling the whole thing nonsense, without elaboration, is confusing at best.

no, it's utter nonsense from someone who is confusing power with current and has potentially fatal incorrect causal models about current