Martini (I used to know a girl by that name; probably a grandmother by now) I don’t think anyone is suggesting teaching both methods as a landing technique. In my book, one is a technique for a powered decent (power controls, indirectly, RoD). That technique is employed to control the decent in the pattern until the landing point can be selected. The other is a technique for landing an aircraft (point the aircraft where you want to land and control the speed with the throttle).
It’s a simple proposition, and intuitive. I’ve taught it for years to both those who are gifted, selected, and bound for jets, and those who are struggling, without aptitude, and bound nowhere. I’ve also attempted to employ the ‘theory’ model. Personally, I’ve had less success with it. I’ve found the gifted students learn whatever (i.e. despite me), but those who struggle, struggle more with the “power controls RoD” model.
After years of discussion and practice, I’m comfortable with the way I do it and I regard it as a safer technique for the less able/experienced, as discussed earlier.
But that’s just my opinion.