Matt's background is rooted in Jun Fan/JKD. He was "brought up" just like any other JKD guy. I believe that he was an Inosanto guy at one time (could be wrong about that) and, trained with Vunak. Along the way, he realized that there were certain inconsistencies. Such as trapping in the traditional sense of the word. He basically found that none of those complex traps worked whenever the partner wasn't "cooperating" (sparring, etc.)
When the Straight Blast Gym started, it was another JKD concepts school. Over time however, the program began to evolve. This is because these guys were ONLY interested in discovering the "truth in combat". This meant, these guys actually FOUGHT each other--all the time. There was no "cooperation" with each other. Whatever they were training in HAD TO WORK or it was discarded! As Matt has said, it wasn't "FEEL GOOD" martial arts.
Another thing, they didn't just "reject" a philosopy, or technique because they "didn't agree with it". What has become the curriculum of the SBG is there because, it has PROVEN itself against uncooperative opponents.
I didn't understand the last part of your question btw
Check this out:
Curriculum