Well, if you do get over your aversion, it's a pretty decent film (and yes, the short to which you link is directly parodying it). While there are elements that fit well within a Western, I think really it's the movie Public Enemies should have had the guts to be.

Having seen the trailer to this movie twice, and now about half of this animation, I'm pretty sure I've seen more than enough YB to last me for the next thirty years or so. Thankfully it didn't come out a few years ago when my kids would have begged me to go see it, because I would have relented. After all, I did take them to see Underdog. shudder