737 Jock---It's not as simple as that. On the 777 it does trim for speed BUT the FBW compensates for configuration AND power changes.... So in effect on approach it won't pitch up if you increase thrust. The 737 and 744 would pitch up. Either way Boeing instructors teach Thrust for speed and Pitch for path control.
What you are describing is secondary effect.
Yes power + attitude equals performance. Thus would be true no matter which way you do it.
The Airbus FBW logic goes one step further in normal law and maintains a G. Great In theory but it does move in practice!!
The flying techniques used in both are the same as taught by Boeing and Airbus.