Basically, yes, (although not immediately during rotation - there is a transition from Direct law to Normal law). And the fact that the FBW does this even when flying manually with the auto-pilot disengaged, is a major point to understand.
Broadly speaking, it "stays where you put it", and auto-trims. However, it won't hold all attitudes - only attitudes within certain sensible flying limits.
But if the flight path is disturbed by wind or turbulence, the attitude will not adjust to recover the flight path; the pilot or the auto-pilot will need to do that, depending who is controlling the 'plane.
.
Last edited by Uplinker; 14th Mar 2024 at 11:43.
Reason: clarification