Nope. The royal family’s wants only take precedence if you believe some people are more important by dint of birth. A wedding is a ceremony to begin a marriage of equals; women no longer promise to obey – Meghan didn’t. The archbishop proclaimed them husband and wife, equals – not man and wife, implying a subservient relationship.
That covers the vows and the ceremony, not all the trappings of the wedding! The wedding became a public spectacle at the choice of H and MM, soaking up millions in public funds. The monarch is accountable to the public, so of course they are going to have a greater say, although there’s no evidence that there was any interference - Harry even got to keep his beard whilst wearing the uniform of a rank he didn’t earn.
By marrying Harry, Meghan had to accept the royal family’s funding because there would be no way for her to afford what was needed.
None of what they had was “needed”. It was very much wanted and chosen by them.
The BBC gave them an engagement interview, demonstrating the public interest.
The interview created public interest, the public would have been fine without one. No-one complained that Beatrice and Edo didn’t give one.
The wedding had 27.7 million peak viewing in the UK, 29 million in the US. It was covered worldwide on multiple channels. That spectacle all came from the groom’s side, and the groom’s side had the wealth to fund it.
And did. People watched it because it was televised. Zara and Mike Tindall’s wasn’t, nobody minded or felt they had missed out. And it hasn’t done their popularity any harm.
And before anyone says “well, they could have said no and had a private wedding”, look at the outcry when she refused to do the hospital steps postpartum posing with Archie – she’s still fighting off allegations of surrogacy, baby kidnap, moon bumps and god knows what else simply because she maintained her privacy for 48 hours.
I don’t remember any outcry. People were exasperated by the drama they created around the labour and then the birth. (The allegations of surrogacy etc are nothing to do with her “48 hours of privacy”, it’s just loons on the internet, nobody here takes those seriously).
They could have done as Eugenie and Beatrice have done, released a photo some days after with details of the birth. It’s conventional to present royal babies but by no means obligatory.
Harry would always have been a problem but things have been made so much worse by his choice of wife. Unfortunately they will remain a problem, unless neutralised. William might have the stomach for it, knowing that what he leaves undone his son will have to pick up.