PJ2 - sorry, but I do not recognise some of the A320 I fly from your post
For example, in a climb, with autothrust engaged but the a/c being manually flown, power is "on the elevator".
In V/S maybe, but normal (OP) CLB modes it is juts like a Boeing or C152 - Climb Power and Pitch controls IAS...
....take the opposite case where the rate of climb is reduced by gently pushing forward on the stick - the rate of climb will decrease, but without touching the thrust levers, the power will come back to match the speed being commanded by the FMGC.
Ditto - V/S only (and just as a Boeing).
As an aside, while the US Airways flight will have had "Alpha-prot", (stall protection), the fbw system would not have protected this airplane from stalling in this case
Again, and as corrected above by Lemurian, not correct... IMHO
so Captain Sullenberger had to fly the speed indicated on the PFD, (Primary Flight Display) just above the alpha-max stall speed
Alpha Max / Alpha Prot are
not speeds - they are Alpha values. VLS is a "speed"... and hence why in a turn or level off, the 2 Alpha values will increase, and potentially mask VLS.
I flew B757/767 prior A320 (and after A340)... The AP modes, once you "translate them" are fairly similar... the FBW protections only come into play when you exceed what you would fly in normal flight. Alpha Floor / Max only come into play with serious abuse, and after a Stick Shaker would have gone off on a Boeing. And in the 1549 case, I doubt any FBW "protections" were invoked, though as above, the Alpha Prot area seems to have been entered... if it was entered gently, Alpha Floor (TOGA) is only asked for "somewhere" in the Alhpa Prot area, and there are a couple of other reasons why it might not have been triggered here (<100R / Engine Out + Slats/Flaps). And even if it was triggered, seems it was not going to get anything
NoD