the problem was they were both characters who ended up getting the short shrift (Not that Winston without Coach has ever really been given as much to do as Schmidt or Nick). I'd rather have really solid characters than a representation of the world when it comes to my entertainment although it is a shitty choice I resent having to make. That said I think New Girl does just fine on that front in terms of its guest stars, love interests, and background actors.

Taking race out of the equation I just think Coach didn't add much to the show and while his character wasn't terrible he was the weak link (both as written and performed) that made the whole chain weaker.