there is a green arrow and next to that a green "Go". If you hit the arrow, it shows all the places you have visited, even after you have cleared your history the other way, so anyone could hit the arrow and see where you have been and click on it and bring up the sites. So in a sense, your history is still there.
And the latter description was how to clear that. It is different from the other. Because I did the other but the history was still stored in the search bar.