I think apathy will be the royal family’s best friend.
If there was a referendum, I’d vote to get rid. But it’s so so so far down my list of priorities that any party saying they’d offer one wouldn’t influence my vote at all. I’d also probably only vote to get rid if we were voting for a specific alternative, rather than “vote to get rid and figure out the details later”. Sell me a better alternative - that is absolutely possible, but I want to know what it would be.
A referendum would also be a bit of a nightmare globally surely? If we voted to get rid of the monarchy, presumably we wouldn’t be doing that on behalf of other countries. I mean, I’m sure they’d probably follow suit due to the practicalities (can you have a king of Canada, Australia etc living in the UK but not funded by the UK and not king of the Uk - how would it work) but some, not all, might be a bit annoyed, with a sense from the various prime ministers of “actually now is not a great time for us to be rewriting our constitution, we’re a bit busy, so thanks for chucking this at me. A huge row over what sort of power structure we have at the top of government is just what I wanted”.
So I think first, other countries will have to become republics, and then us at the end or at the same time as the last few.
Is there a similar lack of support for other monarchies in Europe?