we have made our boat 24V, 800 AH batteries and run the fridge, microwave, washer and induction hob all with he inverter. ( Ikea Hob, fridge and Microwave, samsung washer/dryer and Victron inverter). NO we hardly ever use the drying function of the washer dryer, since it uses up tooooo much water.
240 V appliances are so much cheaper than a 24 or 12 V version. ( plus cheaper and smaller cabling !)
Not sure who would be cooking an hour or so at full capacity on the hob.
I casually finish cooking in 10 - 20 minutes ( yes risotto and rice take longer, but it is at 100 W setting)
No we do not have a generator, but we do have 4 275 W solar panels, and a 190 Amp alternator on the engine
On a typical day, wth some laundry, vacuuming and then either microwaving snacks/meals or cooking on the induction I have not been under 75% op the batteries.
For heating we use a Kabola diesel combination furnace with hot water and forced air (via a radiator heat exchanger which is really compact and was easy to install)