A 5 kW peak stovetop is already more power than anyone can reasonably use with the amount of space available on a standard stove. Literally the only useful thing you can do at full power is bring water to a boil, because no actual cooking can happen at full power unless your diet is carbonized food. I have a 3.5 kW stovetop and it's perfectly adequate.

After the first 15-20 minutes of cooking (bringing water to a boil while preparing some onions/garlic/sauce/seasonings) it gets very hard to keep using 1 kW. By that point you'll be leaving things on medium heat at most. I can't think of a single home-cooked meal that would require continuously drawing a full 2 kW from the stove for multiple hours, that's a truly crazy amount of energy. Even an oven at full blast won't use anywhere near 2 kW once it has reached 250 °C.

We have a glass top 240v resistive heating range and it won’t run all 5 burners on high. The rear is a dual with burner (like for a rectangle skillet). I’m not sure you can run that and the full size burner on high at the same time. One of them won’t heat up.

However the number of times of run into this in 10 years is maybe 3. It’s not really a problem and pretty easy to stagger things and simmer or keep parts of a meal warm in an oven or toaster oven.

One hour of being able to cook in the midst of a 12+ hour blackout can make a world of difference to hungry people.