The Commonwealth is not the list of countries that had QEII as their head of state. If you check the summary here: https://en.wikipedia.org/wiki/Commonwealth_of_Nations you can read about it. That article has even been updated in the last 3 hours.
I am aware of that and did not say otherwise. I can see how you might have read that into what I said (as if I had said "across all") but my intention was across the countries in the Commonwealth that do share a monarch with the UK.
Unless you're saying there are countries not in the Commonwealth that have her as the head of state which is news to me, but maybe i am mistaken.