He thought both,in terms of looks and especially in terms of the same "flying free spirit" and if one knows just a little bit of story about Princess Aurora's life one would notice the similarities

Princess Elizabeth often says that in her in her interviews...
I always wondered has Prince Paul ever met his half-sister Countess Helene Aurora di Noghera and has there ever been any contact between two sides of the family...
Princess Aurora was a very scandalous lady at that time...there was a talk of her giving twins during her marriage to Prince Arsen,but he denied the paternity and didn't want to accept them.Don't know what happened afterwards with them.
And again,Prince Paul lived with her in Sankt Peterburg just one year after his birth...But,as she wanted to be free of any kind of obligation towards the child she had,she gave him to his uncle then Prince Peter(later King) to raise him as his father Arsen was too busy womanizing and gambling in Paris,but he has seen his father much often then his mother whom he has seen just two times after that...
He recollects from his memory that at one point he was taken to some ship which stopped so that an unknown woman could hug him for a moment.He later found out that it was his mother.
Princess Aurora had many relationships and married already pregnant(with Helene) to her second husband Count Nicola Giovanni Maria di Noghera...Unfortunately,she died very young at the age of 30...