Parks in big cities are completely different from large yards. Parks are nice, but large yards mean you can have gardens, grow food, or have lots of friends and family visit.
You are only correct if "semi-rural" to you means "suburban".
Granted that new neighborhoods seem to be built with less care for yards, but growing up in suburban Texas in a subdivision from the '60s, we all had decent yards to play in, with room for trees, gardens, and sometimes even large swimming pools.
I live in an urban area now, and love it. But people need to open their minds and stop crapping on other peoples' lifestyles.
People saying "I just can't /imagine/ living 30 minutes from the citycenter" are as close minded as those who can't /imagine/ living in a walkable area with shops and food nearby.
Back yard? That does not exist in the US. You get a tiny garden which is not enough.
In Europe we have the various sport fields you can reach on foot or via light rail, not even going into a car. Therefore your kids do not have to drive at age 12.
You can reach work via train, I know people who ride in excess of 200 km daily.
Heck, schools and universities are reachable via such transit.
We have big parks in the cities.
I am not talking cities the density of Hong Kong either. NY is not quite walkable either, it lacks walkability due to grid street design with no accommodations for crossing them easily and safely.