Well, I support DBT, but I do have a few problems with it, having done a number of them so far.
Firstly, that during a DBT test it just doesn't feel at all like normal listening. There is a great sense of urgency, as if you need to pick apart every little thing, almost as if you'd be punished should you miss anything. It's not like normal listening where you are kind in the "zone".
Secondly, listening fatigue builds very quickly. Soon both versions start to sound exactly the same, even if you heard large differences a few trials earlier.
Thirdly, both systems need to be exactly the same, and some DBT opponents argue that this is not possible, and that there will always be audible differences between two components, even if they are the exact same model and age, etc.
There are more objections to DBT I think, but those three that I listed are certainly the ones that I hear about most often. Hope that clears things up a bit for you.