They seem to be essentially the same command. Move being for units/groups and domove for units only.
I'd be a little careful with that... it's not quite the case.
You're right in a way,
move will create a new waypoint for the group.
Commandmove is the same as the leader saying "2, move to tree, 2 o'clock".
Domove does exactly what commandmove does, but the leader keeps quiet.
The thing is, as soon as they've moved to that position they'll move back into formation.
So in a sense do/command move isn't permanent like move is.