No, because NHL.com sucks with position. I wouldn't suggest paying attention to what they have players listed as. They have Tlusty listed as a center, ffs.
Brunner is a right winger. He's 27 and recently came over from the Swiss league. He had a solid year for the Wings, played some top-6 time, but was part of a very good "kid line" (Nyquist-Andersson-Brunner) in the playoffs.
He's got the tools of a goal scorer. Wicked shot/quick release, right handed, decent skater that could improve. He's go to the net and bang in rebounds, he would be a lot more productive if he did it consistently — remember, though, even at 27, he's still an NHL rookie, and he performed admirably for most of the regular season and playoffs. He's a relatively smart player, too, being coach by Babcock. With more experience, I think he could turn into a consistent 25-30 goal scorer, with the potential for a breakout year on a lethal PP.
I would look into him if he reached UFA — I doubt he will, though.