That is not the point. The whole hereditary thing should simply be abolished (for any supposed heads of state) and a decent liberal democratic system put in place, and where such hopefully would then represent the views and votes of the people.
There is a liberal democratic system in place, and the government does (in theory) represent the views of the people.
If we want the government to better represent the views of the people, then reform the political system as they are the ones who hold the power.
Electing a ceremonial head of state does absolutely nothing whatsoever in any substantial aspect of governance.
Why have such figures apart from simply being a cultural link to the past - and a source of revenue from tourism and all the rest? We would need something rather better than we currently have, but at least we would be rid of the ties to the past and be allowed to make our own future. Too big a step for many?
Precisely because they are a link to the past, and our history has left us with an iconic and apolitical head of state which offers quite a few benefits.
Electing some C list politician or celebrity to do the role removes benefits and offers no real advantages. It will probably cost more also as elections cost money and so does having a President, and regardless of which person gets elected, 80% of the country will complain that they "can't believe we elected that massive bellend". Not to mention the distraction and tedium of running an election for just to choose a ceremonial figurehead. I would prefer politicians focussing on fixing real problems than wasting years to vote on becoming a republic, changing the laws, then campaigning for their party's candidate every 5 years
Meeting the King to get an award is a bit special, if you were meeting President Jacob Rees-Mogg you'd probably just tell them to stick it in the post (or up his ****).
Getting rid of symbolic ties to the past is not necessarily a good thing either, and, as you just noted, the monarchy in no way prevents us from doing whatever we want in the future anyway.
Either way it doesn't make that much difference, but as someone who cares nothing for the actual royals, I think it is a better option than the alternatives which offer several disadvantages, while the only advantage seems to be they are emotionally comforting for a few people.