Yes, all of these (the list) should be taught. It's up to instructors to make their students aware that there are many other valuable things to be learned, which are not in the scope of the main training for a PPL.
It's up to the students (and pilots in general) to recognize the true value of this training, and assure that they receive it! And recurrantly.
Some of the flight tests I fly are in the company of another pilot. I've stopped being surprised by the pilots telling me that either they have never spun, or have not spun since they did their PPL x years ago.... "Well, I'm going to brief you for spins, and we're going to do some..."