I think you have the story the wrong way around.
Kate at the time was on a private holiday in a private residence MILES away from prying eyes and doing what most young Europeans do when on holiday.
Over here, we don't go all mental when young girls get their boobies out on the beach during a Mediterranean holiday. And most young female bottoms are covered by nowt more than a thong.
In fact, there are so many thousands of these tits and bums on view that by the fifth or sixth minute you've been on the beach the first day, most people take no bloody notice.
This "pervy" behaviour has been going on for decades over here, and regarded as totally normal behaviour.
A papparazo, knowing full well that a flash of Kate's bare boob and bum would cause great indignation over in your bible belt neighborhood and would therefore be massive news, fitted a hubble mk2 lens onto his camera and took a picture or two from a hidden viewpoint somewhere on the distant horizon.
The grainy images that ensued probably made him a fortune and possibly brought you and your mates a bit of relief for a day or two, but in no way can you say that Kate was out there in public, flashing her bits on purpose.
The Queen was probably angered by the hubble style intrusion and invasion of privacy, but I don't know because I've never read any quote from her.
Pervy routine indeed. Hilarious.
I bet you're descended from those tightly buttoned religious freaks we encouraged to leave all those years ago.