I think this is down to the American default of 120V power; 240V, while available, is more expensive to run there. A resistive/halogen stove running on 120V, assuming a non-absurdly-high-gauge cable, is going to be pretty terrible. In the US you can actually buy a 120V induction stove _with a built-in battery_ for this reason (eg https://copperhome.com/products/charlie).

This is also why the US doesn't have proper electric kettles (a US electric kettle is sometimes as little as 1kW and certainly no more than 1.5kW; a European one is typically 3kW) and why US dishwashers and washing machines usually have a hot water inlet. Generally, nearly anything weird/suboptimal about US home appliances to European eyes is down to this issue.