Wading in:
What I appreciate about CMBB is that I actually need to think very carefully before doing anything with my troops, just as a real-life commander would. Impatience is usually rewarded with the thin screams of my men getting mown down.
My guess is that most soldiers on the Eastern Front preferred to advance with as much suppressive fire in support as possible, and most would hit the dirt once the lead started flying around them and pretty much stay there until it stopped.
Nonetheless, every now and then I see a squad of badasses overcome several enemy positions before wanting a rest.....seems reasonable enough that most soldiers, especially if green, won't be as useful. As mentioned earlier in the thread, Move to Contact is good for most troops - they at least start shooting in the direction of the enemy once they contact them, which gives the more experienced squads a chance to crawl forward and lob some grenades or assault.