Predictable response aimed at downplaying.
No, the reception goes BEYOND politicians on official visits. It is the reaction of the crowds that makes the difference here.
Reuters headline was "King Charles receives a rock star's welcome in Hamburg".
https://www.reuters.com/video/watch/king-charles-receives-a-rock-stars-welco-id763821038
A US President would get welcomes like that, not Macron or Merkle. Our Monarchs do too.
The late Queen Elizabeth II was well respected around the world, including within the Commonwealth.
Predictable response in relation to the soft power point. No, it's not about "the vestiges of Empire", but about the influence of the UK on the world stage today!
The United Kingdom is second only to the United States of America when it comes to soft power. We're also second to the USA in the Audit of Geopolitical Capability too. As for brand recognition, the UK is sixth, IIRC.
Although not the only aspect of the UK's international standing, the Royals are still a major part of it.
And will be for decades to come yet.