Is it me, or is this incorrect?
I guess I am failing to see how 'slow flight' is different from a "normal approach" to landing.
OK, I am out of the 'pitch vs. power' debate for now. I am addressing the 'slow flight' vs. 'normal approach' question here.
Generally speaking, we define 'slow flight' as being below best glide speed. Best glide speed is where lift and drag are equal. Increase lift with AoA (pitch) and drag increases more than lift, so the result is an increase in sink rate, so it is called 'area of reverse command'. When speed is above best glide, an increase in AoA (pitch) will increase lift with less increase in drag so the result is a decrease in sink rate.
So, when you are above the best glide speed, and want to decrease sink rate, increase AoA, (pitch up) and the excess speed will transfer into lift and decrease sink rate. When you are below best glide and want to decrease sink rate, add power (reverse command) to decrease sink rate.
Most normal apprach speeds are a little bit above best glide speed. You are not in the area of reverse command on a normal approach.
Best glide is normally at about 1.3 x stall speed. As an example, a Cessna 152 stalls at 35 with full flaps and at full weight. If you are less than full weight, the stall speed is less.
Using the 35 number x 1.3 = 45.5
If you are above this speed, you are not in the area of reverse command. You have sufficient speed to pitch up and gain altitude.
I see it in slow flight practice. Get a 152 slowed down to about 50 kts, and pitch up a little. It will climb. Get it down to 40 and pitch up a bit. It will not climb and may descend a bit. There is the area of reverse command. Not a big difference on little airplanes, but can be a big difference on large airplanes.
The short field approach speed published in the POH for a 152 is 54. Way too fast for a real short field. Should be 1.3, but that's what Cessna puts down for liability these days, so even on a 'book' short field, we still have excess energy to fine tune the glideslope or apprach path with pitch.
Fine tune, I said. If you want to make little fine, fine adjustments with pitch, do it that way. If you want to make fine, fine adjustments with the throttle, do it that way. But even so, the power changes take a nano-second longer to cause the airplane's path to change than the pitch change does, therefore, the very finest approach path will be best controlled with pitch.