And, in the 737NG at least, on a single autopilot approach, you will ALWAYS need to "pull back on the 'stick' and increase power" once TOGA has been initiated
No.
The autopilot will disconnect, but not the autothrottle. Thrust will take care of itself and the nose will come up nicely all by itself but you still need to fly the aircraft.
If you use manual throttles you need to increase thrust. I learned that on my first flight lesson. If I want to go up, I need to increase power/thrust, so no surprise there.
What annoys me on the NG is the automatic autopilot disconnect when on a single channel or non precision approach.
All other passenger aircraft I have flown have had automatic go around capability for all approach types.