I'm guessing there are probably several variations which all disagree with each other. Here's another:
Beer before liquor will make you sicker; liquor before beer and you're in the clear.
Of course the problem with this study is that it just goes to a fixed BrAC level. It doesn't attempt to show whether someone would change their pattern after a switch. I know the missus gets a bloated feeling drinking beer or anything carbonated really so she would only have one and be unlikely to drink anything for hours after that but wine or Irish cream would be another story entirely.