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what kind of moron would suggest that we're unaware that there's an air gap?
No, it isnt. The op wants to control the element output, as does every end user. That is the point.
If its a solid massive hotplate, as most new ones are, the only way to do this is to reduce the temperature of the solid mass of metal. There is no other way, it simply responds too slowly to heat it to red hot & let it cool repeatedly, and have this be acceptable to the user. Your efficiency point may apply fine to halogens and other low thermal mass radiant heaters, but not to solid hotplates, to which it is simply inapplicable and irrelevant.
NT