Take dialectical behavior therapy (DBT) for example. If we apply the perspective of (the book) Right Mindfulness to Marsha Linehan's (DBT originator) perspective on mindfulness, then we would have to say that she's teaching equanimity but calling it mindfulness. That's what's starting to bug me about Reverend Thanissaro's approach. It's nit-picky. He wants sati narrowly defined (within the parmameters of his selction biases and supressed correlation maneuvers). Fair enough. But the bummer (for Theravadin Buddhists and the mentally ill) is that what DBT teaches almost exactly matches what Rev. T teaches elsewhere in terms of skillfulness/unskillfulness, karma and equanimity. Furthermore, although not made explicit, the role of memory, recollection, etc... is crucial to success with DBT (not to mention REBT and CBT).
Granted, Linehan's knowledge about Buddhism is largely if not entirely informed by Thich Nhat Hanh. But again, about the worst Rev. T could justifiably accuse either of them of is not conforming to his view of what the Buddhist lexicon should be. Why didn't he just write them personally and say, "Hey, could you guys get your terminology straight?" or something like that. That would've been a much more skillful way to grind his ax. Maybe he did try to reach out to them--but I doubt it.