So I have compared my Belinda's Dream with Royal Kate. They are not the same at all. The fragrance of Royal Kate is much stronger than Belinda's Dream. The blossoms on Royal Kate easily top 5" in diameter. She often blooms in clusters of 3. The color of Belinda's Dream is a powdery pink on the inside and darker on the back of the petals. Royal Kate is also pretty wide branching and a little sprawling. I will keep updating and hopefully next spring will have pictures to compare of the blooms.

Is this rose named for Kate Middleton? (Catherine, Princess of Wales)

She blooms in clusters of 3 to 4 on my plant. It is also kind of wide and sprawling and almost always in bloom. The blooms are pushing 5" in diameter even in summer, and I would say it is very double. There are definitely more than 40 petals. I have uploaded multiple images of very full blooms.

Mine is a great rebloomer in flushes. The fragrance is also very good. I am growing it zone 7a in Provo, Utah, USA.