Funny. I've been "testing" all of my bikes recently for no-handed stability. They're all okay, but some track straighter and easier than others.
I remember riding my Mercier with my friends when I was an early teen. We would see who could ride the farthest without touching the handlebars. This went on for miles, through intersections and around normal roads.
I remember also that I attempted to ride to high school once without using my hands. That was about 6 miles, but I had to brake at one light and start again from a stop. Didn't make it, I guess...