That’s a rather slanted question because I don’t think they have claimed to be better or different than any other royal, philanthropist, or celebrity have they? I don’t think they are better than anyone else either.
Harry most definitely claims that of Meghan! From his Oprah interview:
Harry: But it was also . . . it was also the first time that the family got to see how incredible she is at the job. And that brought back memories.
Oprah: Where your father and your mother went there, and your mother was bedazzling. So, are you saying that there were hints of jealousy?
Harry: Look, I just wish that we would all learn from the past. But to see the . . . to see how effortless it was for Meghan to come into the family so quickly in Australia and across New Zealand, Fiji and Tonga, and just be able to connect with people..
And in Spare:
”Everywhere we went, enormous crowds turned out and she didn’t disappoint, All across Australia, Tonga, Fiji, New Zealand, she dazzled. After one especially rousing speech she got a standing ovation. She was so brilliant that midway through the tour I felt compelled to warn her:
You’re doing too well, my love. Too damn well. You’re making it look so easy. This is how everything started…with my mother”
Maybe I sounded mad, paranoid. But everyone knew that Mummy’s situation went from bad to worse when she showed the world, the family, that she was better at touring, better than connecting with people, better at being “royal”…”