That is illogical. In Germany rural means a town surrounded by hundreds or thousands of hectares. What you mean is just a special kind of suburbia.

Having your houses this far apart will result in extremely high infrastructure costs.

What are the infrastructure costs? Roads are dirt. Internet is Starlink. Power is solar. Sewer is septic. Water is well. Garbage is a drive once a week.

Heh I feel most people think of "small town America" when they think rural, which often includes almost all of the midwest outside of Chicago.