The naked truth

Is it OK to wear a hat on a nudist beach? I stress that this is a matter of principle rather than of practical application, as Portobello beach does not have a nudist section. But still. The Times reports:

Europe's second-highest ranking commissioner was fighting to save his political career last night over pictures showing him naked on a beach with his chief of staff.
Günther Verheugen, who is married, is shown — wearing only a baseball cap — with his newly promoted aide, Petra Erler, on a nudist beach in Lithuania.
José Manuel Barroso, President of the European Commission, rushed to the aid of his German Vice-President yesterday, saying that he expected “people’s private spheres” to be respected.

Oh well done, José Manuel. "Private spheres". Very witty, but I don't think now is the time for jokes...