To be honest, I'm a little confused by the level of debate going on here. Ignoring glide approaches (where you don't have a throttle to worry about anyway), when on approach you use a combination of throttle and elevator to keep on approach path.
Let's say I'm on approach in my Jab and I'm a bit low, a bit below the approach path. Now, being a 'point and power' sort, I would add a bit of power (to maintain my airspeed) and raise the nose using the elevator to climb and rejoin the approach path. If I was the other sort, I'd add power to climb and use elevator to maintain my airspeed. As far as I can tell (in my comparative inexperience to most on here) I'm doing the same thing -adding power and raising the nose. It's all a question of how I think about it.
Basically it seems to me we're all doing the same thing, it's just how we think about it.
And with the windshear example, personally I think instinct and self-preservation would take over. If it were me suddenly in danger of ending up in a tree, I'd immediately think 'power up and raise nose and let's get OUT of here!'. I'm not thinking 'power for speed, raise nose for height', I'm just instrictively knowing I'm going to need BOTH to do what I need to do. Does it really matter that much which one I associate with which thing (airspeed or height), isn't it more important that I know I need both to get out of there?
Out of curiosity for the instructors out there, when teaching approach do you tell your students that the other technique exists or just talk about the one you teach? When I was briefed about approach I was told about the other technique (not actually taught it, but told about it), so I knew it existed but have been taught the 'point and power' technique.
Also, don't worry gang, I'm not going to suddenly change my technique because of what people are saying on here, so you don't need to worry about affecting the mind of an 'impressionable student' or anything