I will go ahead and do a simulated landing in the air by putting it in the landing configuration at the airspeed that I have deemed appropriate based on the above flying. I'll fly it down to whatever the predetermined altitude is and pull back to flare. At that point I can see how long I float above this altitude before I finally stall.
Good. That is a good description of the way we are all supposed to teach power off stalls. That is the main purpose of stall practice - to be in control during the landing flare, which is a stall onto the runway.
AoA indicators would be so much better, but, you know, they're way too expensive, or so I've been told.
Airplane manufacturers don't make POH's for student pilots. They are written to pilot knowledge level. We are supposed to know that this published speed is in a specific condition: Gross weight, standard day, power off, and at an AoA rate increase of 1 degree per second.
Power on could be full power-some power - a little power- a lotta power, etc. Even if you go with full power, that changes with altitude, engine condition, angle of engine thrust, etc. Think of a helicopter. That has vertical thrust enough to not stall at all. Same with a big engine, you will get way, way below power off stall speed, because you don't reach stall AoA at the same speed as when power off.
Asking why the FAA dosn't mandate power on stall speeds is like asking why our government doesn't provide that our children get good medical care and good education.
The government isn't in the business of looking out for our welfare. They are in the business of looking out for their own welfare.