Tobbe I know, there are some "black sheeps" ... just like Princess Xenia of Saxony and Prince Marcus of Anhalt, who took part in some reality TV shows... ok, she also was given the nickname the "Slut princess" by the press long before that...
Still, tatoos are not something common in the upper class. Imagine Queen Elisabeth II. having a one of that arm-coverimg dragon tatoos...
I also don't think a classical tatoo is a proof of intellect. Young children tend to ΓΆain the walls and themself, having a tatoo shows that you metally still have the desire to paint youself.