I've been following this guy for a while on X. He does live this way. This isn't a hypothetical. He lives on his writing and has plenty of free time to chop all the wood he'd ever need.
Considering that the property has a well on-site, water is free, and as far as heat goes, well, one could either pay a little extra in electric for that — or they could have the Amish deliver their scrap wood from their sawmills to burn in a wood stove, very cheaply.
Maybe "a little bit of electricity" or "very cheap scrap wood" appear to be the vague plans for how to handle heat.
Apparently electricity is 4c/KWh there, so it really is only a “little bit extra” even if you’re heating with resistance heat (at least for a 600sf house).