Thing, there are some aircraft that will react as you describe, under certain circumstances. However, the overriding point is that if you change one of the controls, it is highly likely (nay, almost definite) that you must do something with another.
Looking at this another way, if you choose to fly 'point and power' and discover you are too slow, you will add power. In order to counter the subsequent change in attitude (dare I say AoA) you will need to change the pitch. In reality, you are actually reducing AoA to counter the increased speed you have given yourself. You could get exactly the same effect by firstly changing pitch (thus increasing airspeed) and then increasing power in order to retain/attain a particular rate of descent.
One final point. After a few hours you tend not to think about this and you just fly the aircraft as you would drive a car. You don't 'think' about gear changes, do you?