No, I think the other half has to explain the Escape, not the scenes based on strength and toughness, because the troll half can handle the strength.
You’re assuming there can only be two halves, which the recursive half-green dragon candidate shows isn’t definitely the case. A half-celestial, half-troll, multiply-halved green dragon might work fine despite making mathematics sad.
"You are what you do. Choose again and change." - Miles Vorkosigan