Yes, that certainly makes sense. And based on your lead, I did some further checking and indeed :
The electrolyte for the electrolytic cell consists of molten (fused) sodium carbonate...
and
The heat of fusion is the heat in calories required to convert 1 g of a material from the solid to the liquid state at the melting temperature...
This explains why fused (ie. molten, not aqueous) NaOH is even more reactive than concentrated aqueous NaOH, which explains why fused NaOH can react readily with silicon dioxide (an acidic oxide yet inert with aqueous alkalis, even concentrated NaOH). And this was the original discussion which brought me to ponder what "fused" meant.
Thanks again for your help, Administrator Mitch!