Ahh, the video that says the British castles are more attractive to American tourists than French ones literally as it shows a picture of a monastery in famously republican and world number one tourist destination France as the "awesome" UK one. While we're on the topic of facts being facts, the Crown Estate is not the private property of the monarch as claimed in the video and my source on that is the Crown Estate. The other argument is "oh the name of the country would be weird if we got rid of the monarchy and then also changed the country's name to something weird".

We could, if we wanted, literally just decide that the monarch is to be democratically elected and is otherwise still called king or queen and still gets the fancy outfits and a justification to keep the name the same. They're our laws.