Brooks teaches generic TA. He did not invent his own indicator, oscillator, index, software etc. to trade. Now this leaves us with your question, "Why just Brooks, then?" Let me explain. I am not a big fan of the book trilogy. But I did read his original book "Bar by bar for the serious trader" in full. Multiple readings through this book took me several months to get a hang of it. I was demotivated in between and left it aside and kept going back to it just because a friend was constantly recommending it to me. That is the down side of this book and we have already discussed the reasons for the same in this thread. Still, this book benefitted me. Brooks acknowledges that he has not invented anything new and states that "Edwards and Magee" book teaches TA pretty well. What Brooks brought to the table is that he took the basic TA and put it on a canvas along with 'context' and 'location' where those setups have higher probability of success. He even gave reasons why those setups work in that context like "CT traders getting trapped" or "Institutions buying" etc.
I agree with you that an initial reading of the early chapters may suggest that Brooks' statements sound contradictory. Let me share another point where it all looks like contradicting things, but does make sense in the end. Brooks states in his book that he does not use indicators. But then, he uses 20 ema. This has been pointed out elsewhere on ET. What I understood from Brooks is that he does not use 20 ema in the way that most traders use ema for decision making. He merely uses it to see the location of the current bar and also to observe how the current bar behaves if it encounters/touches ema.
I hope, I had given you the couple of examples that you sought.