I'm not sure it was called what you call it, but my therapist did have a very behaviorally-focused approach that helped me immensely with my PTSD symptoms, particularly the dissociation and flashbacks and the severe panic attacks that I was having. It wasn't about not looking at the history; we definitely did. However, we only did so because there was a present reaction/response I was having difficulty with that was complicated by my history/PTSD. We would then explore that specific history event in a very focused and limited way so that I did not (hopefully) get overwhelmed by looking at it or become retraumatized. It was a slow process actually. It wouldn't have been a brief therapy for me with the extensive trauma background I was navigating. But ultimately, it was THE most effective approach for me that finally allowed me to put my history in its rightful place -- the past.

My concern is that if your therapist is presenting it as a brief therapy, that it probably won't be effective. My experience is that is was quite slow -- like approach the trauma with a fine brush rather than a shovel. Slow and steady and very, very carefully.