Your second reply is slightly hard to follow, however, having flown one type (L1011) for a very long time, all operators I've worked for, do things thus...
PF makes his own heading and VNAV selections, and the First Officer, whether he is PF or not, makes the alt alert selection...simply because the box is way over on the right hand side of the glareshield.
In over twenty five years of flying this aeroplane, I cannot recall one time where this procedure did not work as advertised, quite safely.
I sometimes wonder if a few pilots 'worry' too much about who does what...and when.
Absolute strict regimentation sometimes leads to a few folks not seeing the forest for the trees.
