A puppet head of state with no real authority does not, and will never fill me with confidence. I do not yearn to be any way like Ireland! Or any of these countries without a glittering royal family. Just staid men in suits that have power played their way to the top.
But that is what you have right now. So what would change? Handing out a few baubles? most countries have things like the Order of Merit (USA) Bundesverdienstkreuz (Germany) and so on. But you don't get to put "Sir" or "Lord" in your twitter handle then.
While i wouldn't wish anyone dead, it would be interesting to see what a King Andrew might have brought in terms of reaction. I've met the Queen and others of that family on several occasions. Been at dinners. Had to bolt down my food (was hungry) on one occasion because you have to stop when they stop. And the Queen ate like a sparrow. It is ridiculous.
I don't mind if the Crown Estates aren't sold off. I would like them to be managed well, for our republic, and maximise their revenues for us. I'd love, once at least, to look at every cranny of Buck House ,Windsor Castle and the rest, as you can with a lot of Versailles or Neuschwanstein. Conservation of those kinds of buildings is good work, and keeps skills alive that are being lost (ditto lots of old churches etc).
An elected upper chamber with real teeth to scrutinise and reject badly written or badly intended legislation would be a real step forward. A president who doesn't have all the baggage a monarch brings would be great and she could also wear spectacular clothes and live in a nice place (the German president has a lovely official residence) too. Drawing a line under it all doesn't make history vanish. You can still having changing the guard, state opening of parliament etc, just without all the jewels. You could have a lovely military parade in place of Trooping the Colour, many countries do, to acknowledge the services. You don't have to not have a ceremony at the Cenotaph, every year, etc etc.
But an accident of birth is no more a basis to become head of state than some watery tart lobbing a scimitar at you.