Yes, You have right.
About green units - I think, historically greater role to morale has a officers who can do a great things with morale of green soldiers on battlefields. Maybe, its a good idea try to raise a morale buffs when officers is in range, and the other side, bigger morale drop when green units its out of range, or when they dont have a flank cover, or have flanking fire, or close range fire, or ambush fire. They dont need a big losses to turn a whole regiment to a mass panic and retreat. Losses was a secondary problem, firsth is a morale. Sometimes whole regiments turn a panic without big losses, beacouse enemy open suprise fire in cover, on close distance, or small unit of cavalry do a raid on their flank.
Thats not all... the more tragically was a morale drop on the other regiments only when they see panic of regiment on their flank. And we have a "panic morale domino effect", when whole regiments, one by one in panic, when see retreating regiments on their flank. Thats why, I think the role of officers must be greater to hold and raise morale of units (mostly green). And the gameplay will by more interested :) ... Good planed raid of cavalry on enemy flank, or well planned ambush, can turn the battle result.
In Sid Meyer Gettysbur was a similiar things.
What do You think about that?