I don't see how that's unique to children, all sorts of life situations require spacial responsibilities. I could write the same thing about my own medical appointments and I don't have children whereas my grandparents had ten (10) children and never owned a car in their lives.
The original thought was "everyone should be able to get everywhere they want to go easily without owning a car so a personal automobile should be considered a luxury." You're describing a situation where the first criteria was not met so the second, of course, won't follow. So your situation doesn't apply and it doesn't take away from the original idea.
The original thought was "everyone should be able to get everywhere they want to go easily without owning a car so a personal automobile should be considered a luxury." You're describing a situation where the first criteria was not met so the second, of course, won't follow. So your situation doesn't apply and it doesn't take away from the original idea.