Is Breacher wearing a European style necktie to point to Schwarzenegger's heritage?

In Sabotage (2014) the character Breacher, played by Arnold Schwarzenegger, is shown wearing a European style necktie, i.e. the stripes showing positive diagonals when seen by others ( // , see here). If I didn't miss anyone all the other characters wear neckties in the US American style (stripes showing negative diagonals \\ ) which is to be expected as the characters are all US Americans. This is best visible in the beginning in the taped interrogation scene. The shots change between Breacher and the interrogation team.

Was this done on purpose to point out Schwarzenegger's European (specifically Austrian) heritage? I guess he didn't bring or selected his own props; and even if so I guess he lives long enough in the US (and he was even quite engaged in his community there) so not much of his original wardrobe has survived.