You have mis-quoted me here... I never said "ELAC has been programmed and knows if A/THR is ON or OFF. If A/THR is ON:
ELAC will pitch down at X° (programmed value). A/THR will keep managing the target speed TILL AoA Alpha floor where FAC's will ask to give A/THR full TOGA thrust."
The ELAC knows nothing of autothrust, manual thrust or anything to do with the engines. When V.a.prot is reached, the ELAC does not pitch down a programmed value, but just enough to ensure that airspeed does not fall below V.a.prot. It does this REGARDLESS of thrust setting, and whether or not autothrust is engaged.
Separately, the Autothrust (if engaged) will still be trying to give sufficient thrust to accelerate to the target speed. That is, until (as you correctly state) Alpha Floor, at which time Autothrust commands TOGA.
Other than that, I agree.