Yep, and even though it is closed they still patrol them so they can tell the people that try to sneak into these "public" lands that they are closed.
I saw a lot of public roads closed during my life time. I lived in one of the least populated counties in the U.S. that was heavily forested and very mountainous. Numerous 14,000+ foot peaks within 10-20 miles of my house.
It used to have lots of mining communities back in the day, so there are tons of side roads people would drive on and most of them are safe.
I saw these increasingly getting shut off. Places I went with my parents as a kid I was not able to take my children.