The whole idea behind the OJ and gasoline recipe for napalm was that frozen OJ was “gloopy”–nothing more. Gasoline and polystyrene certainly does work–the US military version is kerosene and polystyrene.
I think the idea behind that was the fact that the NaOH solution on his hand was of course saturated, since whatever moisture on his skin would be the only solvent there… and when he went to the sink to put water on it, it would create more solution, and thus more OH-, but it neglected to say anything about the fact that it would then dilute it once all of the lye was dissolved.