BCBA here!
DTT is excellent for skill acquisition. In my experience DTT works best in younger children where we can control for satiation/deprivation of the reinforcement (much more easily) as well as gain more stimulus control.
We can still use ABA with the high functioning teen. DTT is just a teaching strategy based on principles of ABA. It all depends on what skills we are trying to teach. What would you consider "strict" behavioral techniques?