Well, yes. In two ways. One he is less available for Nats games not played in Europe. And two, his departure opened up a starting slot for Dunivant who just may overtake him on the Arena-radar at left back if he continues to play like he has so far and continues to improve.
...and three, Wade's not exactly getting sparkling reviews (see the thread I started yesterday, "Wade Barrett sightings..." https://www.bigsoccer.com/forum/showthread.php?threadid=46511) But he'll get his chances.
I think he's finished on the national team as long as BA is chief. If Wade walked out of national camp to go to Denmark, I think he probably was aware that he was punching his ticket as far as additional national team call-ups are concerned. I think that during the interview with him that came out afterward (sorry - don't remember the exact place or time) he pretty much acknowledged it; indicating that Bocanegra can do a good job at left back. Wade is Wade, and I'm sure he weighed this in his mind before he made his decision. That said, I still think his agent should be hanged by his thumbs!