It's not WINS per se, it's that many applications have a dependency on netbios name resolution. If an application requires netbios name resolution, and you don't use WINS, then you'll be relying on broadcasts. Yes, you're on a single subnet so you don't have to worry about the broadcasts going across a router, however you'll still have to deal with all the computer browser election issues. Forced elections, rouge master browsers, just remembering all the issues is painful. WINS was introduced to solve those issues, you don't want to reintroduce them. If you have allications that rely on netbios name resolution, then use WINS. Don't rely on broadcasts...
Whew, I need a cold adult beverage ...