We are pretty rural, but are in a small village (40 houses together, but we are miles from anywhere else). If I'm honest I had fantasised about being completely alone, but feel it wouldn't have suited my dc so much.
There are downsides - need to be organised with shopping as the nearest small shop is half an hour each way, an hour to a proper supermarket. In the winter we are regularly snowed in for a week or more, so supplies are important. A proper pantry is very helpful for food storage for this!
We have electricity but no gas, our heating depends on keeping stoves lit and bringing in coal or wood. This took us a while to get used to, and tbh it is still a huge demand on time in the winter and a pain in the backside. If the stove goes out the house is freezing. Also, if the electricity goes off (which happens pretty regularly) then the stove only heats the room it is in, and we all have to camp out in that room until it is back on.
The lack of local jobs is a big problem. I commute an hour and a half each way, and we spend a lot on fuel. It makes days very tiring. Local childcare options are limited (though we have a fab childminder, I know families who can't find anything suitable). The "local" school is not particularly close, the dc are collected by bus (though this is itself a bit of an experience when they are only 4) and they drive 35 mins to get there. The catchment high school is an hour and a half each way.
When we first moved here it took years to be accepted in any way by the local community. We will always be "outsiders" but after 12 years people will at least speak to us! We had to be pretty thick skinned in the first five years.
There are upsides, of course. It is beautiful. The houses are cheap. It is safe for the dc - playing out is absolutely the norm. Everyone knows each other, which can be a blessing or a curse. Small disputes can become overblown, but there is a real sense of community in serious situations (half the village helped dig our car out when I went into labour with dc2).
A big thing people don't always thing about is the increased chance that your dc will move far away as soon as they hit adulthood. There is very little here for young adults - limited housing, no jobs. Some people return later to have families, but not always.