Umm...no it is not. There is variability in unit soft factors in quick battles, unless the player overrides them by changing them from "typical" before purchase or directly editing them after purchase. Headcount, supply and fitness are fixed, but since QBs are often used for competitive purposes, allowing alteration of these could get very complicated.
If the AI is auto-picking, these factors may get changed just a player can change them (at the cost or gain of points). I just let the AI pick my forces in a quick test and one platoon had all regulars and another had a mix of green, veteran and regular. Not sure if the even experience of the first platoon was just chance or an AI decision. Regardless, the other soft factors (leadership/morale) were variable throughout the forces.