Vessbot, you are scientifically correct on this one.
Mainitaining strict 1g would never achieve what Airbus FBW advertises to be doing and it actually does!
It is a short-hand written in the pilot's manual for 'flies itself steady where you point it to thanks to complex proprietary magic whose creators are sadly no longer with us'.
Have mercy not to hijack the thread. The FCOM/FCTM says 1g and has a little picture of transition and a steady climb (not a 1g segment opposing the explanation itself) thus sometimes when not relevant we just say 1g. It does not hurt that much because nobody knows how large 1 g is or needs to be for level flight anyways.