I'll accept the crazy part... :-)
Not many of us are crazy enough to run an 1800w inverter cooktop! Whats your average cook time using that?
Not long. 1.5L water boil in 7-8 minutes. We do that 2x a day (bfast/supper). Cooking food is usually not on max. Found out this last week that we can run our electric frying pan on that, as well as the wife's hair dryer. She's very happy.
The cooktop is why I have TWO batteborns. They max out at 100A draw, so I needed two in parallel.