CPB ... okay, if nobody else is going to take issue with what you've just said, I'll kick the ball into the air. First of all, I resent your implication that no other instructor gets the basics right with briefings for trainees. Do you really believe that every other instructor, or former instructor, around the world, is so completely idiotic as to overlook such a fundamental aspect as the way we show the forces in a (massively) simplified diagram?
What you say might well be the case, in your experience, in your part of the world, but it certainly is not the case in my experience, in my part of the world. So, please, no lofty generalisations.
Next, you've ignored one of the fundamentals of aerodynamics in saying that "lift" is increased in the climb. I invite you to read back over the quote from AC Kermode, made by GoneWest, and then tell us about lift in the climb.