Indeed. I wonder how many, who in those states support monarchy, do this because the Queen is a well known entity. People know her as the head of state, mostly

Indeed. I wonder how many, who in those states support monarchy, do this because the Queen is a well known entity. People know her as the head of state, mostly keeping herself out of politics. Abolishing monarchy formally would mean that you risk to get a president, who might be a disappointment. Something similar could be observed in Germany: Angela Merkel kept winning elections, because there were enough people who wanted her to keep her office, even if they otherwise might not have voted for her party. This explains - at least to a part - the huge shift in the political landscape when she announced that she wouldn't run in this years election. This was amplified though by her party not being able to find a strong successor and tied up in internal struggles. I am sure, with the death of the Queen, a lot of states might reconsider formally being a monarchy, depending how her succession turns out. Even in the UK itself, monarchy is discussed and there were times in recent history, where the royal family hat little public support.