My parents would have been arrested for general creepiness if they followed me around as a 7 year old.
I was quite done with parental supervision at 5.
We played in the woods. Alone. All day. We had to come home by dark, which in June was 10:00 P.M. or so. Anything before then was considered weird.
And no wonder why kids today are so fat. Parents are too scared to let them out of the house to play.