As a side note, in this very case the issue wasn't remoteness since they could have had access to firefighters for a small annual fee. Rather it was a legal and administrative issue. But I would indeed be curious if voluntarily paying a fee rather then being taxed can have an impact on any enforceable expectation of service.
It is absolutely relevant because services can only be logistically and economically viable at certain levels of density. Fire services aren't very useful if it takes them a two-hour drive to reach the fire. So they have a maximum radius where they are useful. They only provide value to the people within that radius. If the density is too low, then there aren't enough people in there to afford supporting fire services.
You're not addressing my point, either, which is that there is a big difference between getting a crap service because you're hard to reach (which does happen including here in Europe) and having no right to call for help in the first place.
Again, I am not criticising, I am just thinking that there are different, separate issues here.
They inherently are. If these neighborhoods have fire coverage equivalent to that of a metropolis, but they would be paid for via taxation at the rate of $50K per year per household, that's not economically viable.
So in general people who live is more isolated houses end up being effectively subsidised by everyone else.
In your example the 'problem' stems from a tax base that is too narrow because of administrative and political choices.
In any case, that is NOT the point of my previous comments.
I am not judging the way things work in the US, just commenting that I don't think that population density is relevant here as the issue is one of right.
Now, of course, if you live 100 miles from the nearest town it may well take hours for the police or firefighters to show up when you call them. That's another issue.