Transporting power isn't cheap. If you can generate the power where you need it, then you eliminate the need to transport it.
Ok, if I max out my stove completely it could _theoretically_ reach around 10 kW, but only if all four burners AND the oven are turned on at the same time.
It feels like it would be a better idea to install a battery in high-effect appliances to spread out the consumption over the day, than having a guaranteed 11 kW effect available 24/7/365 just in case... (and not everybody needs a stove with four burners, or even reliable power)