Yeah the hobs will just keep pumping out power because it has no idea what temperature the food needs to reach. Whereas the oven is a contained insulated box that will turn off the heating elements when it reaches the set temperature. I think this is why the oven manufacturers look at kwh averages but they are still obliged to tell you the max current draw. Its looking at all those potential peak loads that i am being careful to calculate.
The biggest down side of the lithiums that i can see is the max current draw. If you are lucky enough to have shore power then the mulitplus will balance where it draws power from, but if you cant do that then the batteries need to have a higher max discharge current or have a balanced parallel system.