I looked up that Impulse Labs induction hob. Holy Shit, 10kW peak on a single burner is ridiculous!
I already managed to ruin a pan with just 3.7kW (heated it while empty), and I tought that was a lot.
However, I think the cost is probably mostly the battery. Our induction hob (max power per burner 3.7kW / 7.2kW total) costs only 10% of the battery powered stove.
Also, at the low cost, induction is a non-starter. Resistive heating elements are dirt cheap, and the efficiency is not much less than induction. Induction is just way nicer :)