Not clever... just read abaut it some time ago.
Yes, the tendency for this aircrafts to pitch up a bit at cruise is due to the fact that the accelerometers are set on the ground at sea level for a load factor of 1 g.
As g decreases with altitude pitch law reacts to recover the chosen value of 1g stick free providing the climb we notice.
Shure made me scratch my head for quite a while until I found the answer.