Like most of the people who live on this planet, I know quite a lot about the head of state of the USA's office. I know how they are elected and what they can do without reference to Senate and Congress. I do not expect that anybody who does not live in the UK to know anything about the office of our head of state, our monarch. That is unless they decide to declare publicly their opinion on our monarchy.
Since the Olympics I have read, over and over again, comments and quips about our Queen losing the ownership of other countries. I have read (over and over again) stuff by people, who claim to be educated to a reasonable standard, comments that show that they believe that our monarch "rules" in a "telling people what to do" and making laws way. I even read such uniformed drivel on a Canadian website which is effing ridiculous.
Look, Wiki is your friend and urban myth is your enemy.
Gen up or shut up!